О плотности гладких функций в пространстве Соболева–Орлича
В. В. Жиков

Эта публикация цитируется в следующих статьяx:

1. Dofyniwassouani Alain Houede, Idrissa Ibrango, Adama Ouedraogo, “Entropy solutions for some elliptic anisotropic problems involving variable exponent with Fourier boundary conditions and measure data”, J Elliptic Parabol Equ, 2024  
2. Igor Skrypnik, Yevgeniia Yevgenieva, “Harnack inequality for solutions of the p(x)-Laplace equation under the precise non-logarithmic Zhikov's conditions”, Calc. Var., 63:1 (2024)  
3. Pierre Bousquet, Carlo Mariconda, Giulia Treu, “Non occurrence of the Lavrentiev gap for a class of nonautonomous functionals”, Annali di Matematica, 2024  
4. Andrii S. Bychkov, Oleksandr V. Hadzhy, Yevhen S. Zozulia, “On the generalized weak Harnack inequality for non-negative super-solutions of quasilinear elliptic equations with absorption term”, J Math Sci, 282:1 (2024), 13  
5. Simone Ciani, Eurica Henriques, Igor I. Skrypnik, “The weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth”, Advances in Calculus of Variations, 2024  
6. Andrii S. Bychkov, Oleksandr V. Hadzhy, Yevhen S. Zozulia, “On the generalized weak Harnack inequality for non-negative super-solutions of quasilinear elliptic equations with absorption term”, UMB, 21:1 (2024), 16  
7. Ahmed Aberqi, Jaouad Bennouna, Omar Benslimane, Maria Alessandra Ragusa, “Weak solvability of nonlinear elliptic equations involving variable exponents”, DCDS-S, 16:6 (2023), 1142  
8. Qitong Ou, “On the partial boundary value condition basing on the diffusion coefficient”, Filomat, 37:18 (2023), 5979  
9. Boris Andreianov, El Houssaine Quenjel, “On Numerical Approximation of Diffusion Problems Governed by Variable-Exponent Nonlinear Elliptic Operators”, Vietnam J. Math., 51:1 (2023), 213  
10. Mikhail Borsuk, Damian Wiśniewski, “The Dirichlet problem in an unbounded cone-like domain for second order elliptic quasilinear equations with variable nonlinearity exponent”, Electron. J. Qual. Theory Differ. Equ., 2023, no. 33, 1  
11. Ihor Skrypnik, Maria Savchenko, Yevgeniia Yevgenieva, “Weak Harnack inequality for unbounded solutions to the p(x)-Laplace equation under the precise non-logarithmic conditions”, Proc. IAMM NASU, 37 (2023), 48  
12. Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva, “Harnack's inequality for degenerate double phase parabolic equations under the non-logarithmic Zhikov's condition”, J Math Sci, 273:3 (2023), 427  
13. Mariia Savchenko, Igor Skrypnik, Yevgeniia Yevgenieva, “Harnack's inequality for degenerate double phase parabolic equations under the non-logarithmic Zhikov's condition”, UMB, 20:1 (2023), 124  
14. Skrypnik I.I., Voitovych M.V., “On the Continuity of Solutions of Quasilinear Parabolic Equations With Generalized Orlicz Growth Under Non-Logarithmic Conditions”, Ann. Mat. Pura Appl., 201:3 (2022), 1381–1416      
15. Hurtado E.J., Miyagaki O.H., Rodrigues R.S., “Multiplicity of Solutions to Class of Nonlocal Elliptic Problems With Critical Exponents”, Math. Meth. Appl. Sci., 45:7 (2022), 3949–3973      
16. Igor I. Skrypnik, “Harnack's inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov's condition”, J. Evol. Equ., 22:2 (2022)  
17. Ahlem Merah, Fatiha Mesloub, “On a viscoelastic plate equation with a polynomial source term and p(x,t)-Laplacian operator in the presence of delay term”, J. Innov. Appl. Math. Comput. Sci, 2:1 (2022), 92  
18. Huashui Zhan, “Positive solutions of a nonlinear parabolic equation with double variable exponents”, Anal.Math.Phys., 12:1 (2022)  
19. Michał Borowski, Iwona Chlebicka, “Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak–Orlicz–Sobolev spaces”, Journal of Functional Analysis, 283:12 (2022), 109716  
20. Skrypnik I.I., Voitovych M.V., “B-1 Classes of de Giorgi-Ladyzhenskaya-Ural'Tseva and Their Applications to Elliptic and Parabolic Equations With Generalized Orlicz Growth Conditions”, Nonlinear Anal.-Theory Methods Appl., 202 (2021), 112135        
21. Huang Zh., “The Weak Solutions of a Nonlinear Parabolic Equation From Two-Phase Problem”, J. Inequal. Appl., 2021:1 (2021), 149      
22. Zhan H., “The Stability of Weak Solutions to An Anisotropic Polytropic Infiltration Equation”, J. Korean. Math. Soc., 58:5 (2021), 1109–1129      
23. Benslimane O., Aberqi A., Bennouna J., “Existence Results For Double Phase Obstacle Problems With Variable Exponents”, J. Elliptic Parabol. Equat., 7:2 (2021), 875–890        
24. Choi Q.-H., Jung T., “Fractional N-Laplacian Problems Defined on the One-Dimensional Subspace”, Symmetry-Basel, 13:10 (2021), 1819    
25. Weng S., “On a Degenerate Parabolic Equation With Newtonian Fluid Similar to Non-Newtonian Fluid Mixed Type”, J. Inequal. Appl., 2021:1 (2021), 23        
26. Shan M.A., Skrypnik I.I., Voitovych M.V., “Harnack'S Inequality For Quasilinear Elliptic Equations With Generalized Orlicz Growth”, Electron. J. Differ. Equ., 2021    
27. Giuseppe Mingione, Vicenţiu Rădulescu, “Recent developments in problems with nonstandard growth and nonuniform ellipticity”, Journal of Mathematical Analysis and Applications, 501:1 (2021), 125197  
28. Maria A. Shan, Igor I. Skrypnik, Mykhailo V. Voitovych, “Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth”, ejde, 2021:01-104 (2021), 27  
29. С. Е. Пастухова, “Апостериорные оценки отклонения от точного решения в вариационных задачах с нестандартными условиями коэрцитивности и роста”, Алгебра и анализ, 32:1 (2020), 51–77  ; S. E. Pastukhova, “A posteriori estimates of the deviation from exact solutions to variational problems under nonstandard coerciveness and growth conditions”, St. Petersburg Math. J., 32:1 (2021), 39–57      
30. Balci A.Kh., Diening L., Surnachev M., “New Examples on Lavrentiev Gap Using Fractals”, Calc. Var. Partial Differ. Equ., 59:5 (2020), 180        
31. Pastukhova S., Piat V.Ch., “Homogenization of Multivalued Monotone Operators With Variable Growth Exponent”, Netw. Heterog. Media, 15:2 (2020), 281–305          
32. Ahmida Y., Youssfi A., “Variational Nonlinear Elliptic Equations in Nonreflexive Musielak Spaces”, J. Math. Anal. Appl., 491:2 (2020), 124387        
33. Zhan H., Feng Zh., “Stability of Polytropic Filtration Equation With Variable Exponents”, Adv. Differ. Equat., 25:5-6 (2020), 255–278      
34. Ou Q., Zhan H., “On the Boundary Value Condition of An Isotropic Parabolic Equation”, J. Funct. space, 2020 (2020), 2180830        
35. El Hamdaoui B., Bennouna J., Redwane H., “Nonlinear Evolution Equations With Noncoercive Lower Order Terms”, Appl. Anal., 2020    
36. El Bahja H., “Holder Continuity of Singular Parabolic Equations With Variable Nonlinearity”, Analele Stiint. Univ. Ovidius C., 28:3 (2020), 51–82        
37. Ю. А. Алхутов, М. Д. Сурначёв, “Неравенство Харнака для эллиптического $p(x)$-лапласиана с трехфазным показателем $p(x)$”, Ж. вычисл. матем. и матем. физ., 60:8 (2020), 1329–1338      ; Yu. A. Alkhutov, M. D. Surnachev, “Harnack inequality for the elliptic $p(x)$-Laplacian with a three-phase exponent $p(x)$”, Comput. Math. Math. Phys., 60:8 (2020), 1284–1293    
38. Igor I. Skrypnik, Mykhailo V. Voitovych, “$ {\mathfrak{B}}_1 $ classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth”, J Math Sci, 246:1 (2020), 75  
39. С. Е. Пастухова, Д. А. Якубович, “О галёркинских приближениях в задаче Дирихле с $p(x)$-лапласианом”, Матем. сб., 210:1 (2019), 155–174            ; S. E. Pastukhova, D. A. Yakubovich, “Galerkin approximations for the Dirichlet problem with the $p(x)$-Laplacian”, Sb. Math., 210:1 (2019), 145–164    
40. Antontsev S., Shmarev S., “Higher Regularity of Solutions of Singular Parabolic Equations With Variable Nonlinearity”, Appl. Anal., 98:1-2, SI (2019), 310–331          
41. Zhan H., Feng Zh., “Solutions of Evolutionary Equation Based on the Anisotropic Variable Exponent Sobolev Space”, Z. Angew. Math. Phys., 70:4 (2019), 110      
42. Antontsev S.N., Aitzhanov S.E., “Inverse Problem For An Equation With a Nonstandard Growth Condition”, J. Appl. Mech. Tech. Phys., 60:2 (2019), 265–277      
43. Zhan H., “The Partial Second Boundary Value Problem of An Anisotropic Parabolic Equation”, J. Funct. space, 2019, 6930385      
44. Ю. А. Алхутов, М. Д. Сурначёв, “О неравенстве Харнака для $p(x)$-лапласиана с двухфазным показателем $p(x)$”, Тр. сем. им. И. Г. Петровского, 32, Издательство Московского университета, М., 2019, 8–56  ; Yu. A. Alkhutov, M. D. Surnachev, “Harnack's inequality for the $p(x)$-Laplacian with a two-phase exponent $p(x)$”, J. Math. Sci. (N. Y.), 244:2 (2020), 116–147    
45. Baalal A., Berghout M., “Density Properties For Fractional Sobolev Spaces With Variable Exponents”, Ann. Funct. Anal., 10:3 (2019), 308–324        
46. Zhan H., “On An Electrorheological Fluid Equation With Orientated Convection Term”, Bound. Value Probl., 2019, 128      
47. Zhan H., “On the Weak Characteristic Function Method For a Degenerate Parabolic Equation”, J. Funct. space, 2019 (2019), 9040284        
48. Zhan H.-sh., “Evolutionary P(X)-Laplacian Equation With a Convection Term”, Acta Math. Appl. Sin.-Engl. Ser., 35:3 (2019), 655–670          
49. Zhan H., “The Weak Solutions of a Doubly Nonlinear Parabolic Equation Related to the P(X)-Laplacian”, Adv. Differ. Equ., 2019:1 (2019), 463      
50. Igor Skrypnik, Mykhailo Voitovych, “\mathfrak{B}_{1} classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth”, UMB, 16:3 (2019), 403  
51. М. Д. Сурначев, “О неравенстве Харнака для $p(x)$-лапласиана”, Препринты ИПМ им. М. В. Келдыша, 2018, 069, 32 с.      
52. Zhan H., “The Weak Solutions of An Evolutionary P(X)-Laplacian Equation Are Controlled By the Initial Value”, Comput. Math. Appl., 76:9 (2018), 2272–2285        
53. Giacomoni J., “Quasilinear Parabolic Problem With Variable Exponent: Qualitative Analysis and Stabilization”, Commun. Contemp. Math., 20:8 (2018), 1750065          
54. Zhan H., “On An Anisotropic Parabolic Equation on the Domain With a Disjoint Boundary”, J. Funct. space, 2018, 6836417          
55. Zakariya Chaouai, Abderrahmane El Hachimi, “Qualitative Properties of Nonnegative Solutions for a Doubly Nonlinear Problem with Variable Exponents”, Abstract and Applied Analysis, 2018 (2018), 1  
56. Zhan H., “The stability of evolutionary p ( x ) $p(x)$ -Laplacian equation”, Bound. Value Probl., 2017, 13        
57. El Hachimi A., Maatouk S., “Existence of Periodic Solutions For Some Quasilinear Parabolic Problems With Variable Exponents”, Arabian J. Math., 6:4 (2017), 263–280        
58. Zhan H., “The Well-Posedness of An Anisotropic Parabolic Equation Based on the Partial Boundary Value Condition”, Bound. Value Probl., 2017, 166        
59. Zhan H., Feng Zh., “Solutions of Evolutionary -Laplacian Equation Based on the Weighted Variable Exponent Space”, Z. Angew. Math. Phys., 68:6 (2017), 134          
60. Hurtado E.J., Miyagaki O.H., Rodrigues Rodrigo da Silva, “Existence and Asymptotic Behaviour For a Kirchhoff Type Equation With Variable Critical Growth Exponent”, Milan J. Math., 85:1 (2017), 71–102          
61. Zhan H., “A New Kind of the Solutions of a Convection-Diffusion Equation Related to the P(X)-Laplacian”, Bound. Value Probl., 2017, 117        
62. Huashui Zhan, “Diffusion Convection Equation with Variable Nonlinearities”, Journal of Function Spaces, 2017 (2017), 1  
63. Li Zh., Gao W., “Existence Results To a Nonlinear P(X)-Laplace Equation With Degenerate Coercivity and Zero-Order Term: Renormalized and Entropy Solutions”, Appl. Anal., 95:2 (2016), 373–389          
64. Boureanu M.-M., Radulescu V., Repovs D., Comput. Math. Appl., 72:9 (2016), 2505–2515          
65. Azroul E., Lahmi B., Youssfi A., “Strongly nonlinear variational parabolic equations with p(x)-growth”, Acta Math. Sci., 36:5 (2016), 1383–1404          
66. Zhan H., Wen J., “Evolutionary P(X)-Laplacian Equation Free From the Limitation of the Boundary Value”, Electron. J. Differ. Equ., 2016, 143    
67. Giacomoni J., Tiwari S., Warnault G., “Quasilinear parabolic problem with p(x)-Laplacian: existence, uniqueness of weak solutions and stabilization”, NoDea-Nonlinear Differ. Equ. Appl., 23:3 (2016)          
68. Dhara R.N., Kalamajska A., “On one extension theorem dealing with weighted Orlicz-Slobodetskii space. Analysis on Lipschitz subgraph and Lipschitz domain”, Math. Inequal. Appl., 19:2 (2016), 451–488            
69. Adamowicz T., Lundstroem N.L.P., “The boundary Harnack inequality for variable exponent
    $$p$$
    p -Laplacian, Carleson estimates, barrier functions and
    $${p(\cdot )}$$
    p ( ) -harmonic measures”, Ann. Mat. Pura Appl., 195:2 (2016), 623–658            
70. Antontsev S., Shmarev S., “On the localization of solutions of doubly nonlinear parabolic equations with nonstandard growth in filtration theory”, Appl. Anal., 95:10, SI (2016), 2162–2180            
71. Kokilashvili V., Meskhi A., Rafeiro H., Samko S., “Integral Operators in Non-Standard Function Spaces, Vol 1: Variable Exponent Lebesgue and Amalgam Spaces”, Integral Operators in Non-Standard Function Spaces, Vol 1: Variable Exponent Lebesgue and Amalgam Spaces, Operator Theory Advances and Applications, 248, Springer Int Publishing Ag, 2016, 1–567      
72. В. В. Жиков, М. Д. Сурначёв, “О плотности гладких функций в весовых соболевских пространствах с переменным показателем”, Алгебра и анализ, 27:3 (2015), 95–124      ; St. Petersburg Math. J., 27:3 (2016), 415–436    
73. Adamowicz T., Gorka P., “the Liouville Theorems For Elliptic Equations With Nonstandard Growth”, Commun. Pure Appl. Anal, 14:6 (2015), 2377–2392            
74. Kostopoulos T., Yannakakis N., “Density of Smooth Functions in Variable Exponent Sobolev Spaces”, Nonlinear Anal.-Theory Methods Appl., 127 (2015), 196–205          
75. Zhan H., “the Boundary Value Condition of An Evolutionary P(X)-Laplacian Equation”, Bound. Value Probl., 2015, 112          
76. Kim I.H., Kim Yu.-H., “Mountain Pass Type Solutions and Positivity of the Infimum Eigenvalue For Quasilinear Elliptic Equations With Variable Exponents”, Manuscr. Math., 147:1-2 (2015), 169–191          
77. Chai X., Li H., Niu W., “Large Time Behavior For P(X)-Laplacian Equations With Irregular Data”, Electron. J. Differ. Equ., 2015, 61      
78. Li Zh., Yan B., Gao W., “Existence of Solutions To a Parabolic P(X)-Laplace Equation With Convection Term Via l-Infinity Estimates”, Electron. J. Differ. Equ., 2015, 46    
79. Crispo F., “a Note on the Existence and Uniqueness of Time-Periodic Electro-Rheological Flows”, Acta Appl. Math., 132:1, SI (2014), 237–250          
80. Ferreira J., Messaoudi S.A., “on the General Decay of a Nonlinear Viscoelastic Plate Equation With a Strong Damping and (P)Over-Right-Arrow(X, T)-Laplacian”, Nonlinear Anal.-Theory Methods Appl., 104 (2014), 40–49          
81. Hwang B.-H., Lee S.D., Kim Yu.-H., “Existence of An Unbounded Branch of the Set of Solutions For Neumann Problems Involving the P(X)-Laplacian”, Bound. Value Probl., 2014, 92            
82. Hakkarainen H., Nuortio M., “the Variable Exponent Sobolev Capacity and Quasi-Fine Properties of Sobolev Functions in the Case P(-)=1”, J. Math. Anal. Appl., 412:1 (2014), 168–180            
83. Surnachev M.D., “Density of Smooth Functions in Weighted Sobolev Spaces With Variable Exponent”, Dokl. Math., 89:2 (2014), 146–150            
84. Kim Yu.-H., “Existence of An Unbounded Branch of the Set of Solutions For Equations of P(X)-Laplace Type”, Bound. Value Probl., 2014, 27        
85. Lv B., Li F., Zou W., “Existence and Uniqueness of Renormalized Solutions To Some Nonlinear Elliptic Equations With Variable Exponents and Measure Data”, J. Convex Anal., 21:2 (2014), 317–338      
86. Agnieszka Świerczewska-Gwiazda, “Nonlinear parabolic problems in Musielak–Orlicz spaces”, Nonlinear Analysis: Theory, Methods & Applications, 98 (2014), 48  
87. Antontsev S. Chipot M. Shmarev S., “Uniqueness and Comparison Theorems for Solutions of Doubly Nonlinear Parabolic Equations with Nonstandard Growth Conditions”, Commun. Pure Appl. Anal, 12:4 (2013), 1527–1546            
88. Bendahmane M., Karlsen K.H., Saad M., “Nonlinear Anisotropic Elliptic and Parabolic Equations with Variable Exponents and l-1 Data”, Commun. Pure Appl. Anal, 12:3 (2013), 1201–1220          
89. Antontsev S., Shmarev S., “Doubly Degenerate Parabolic Equations with Variable Nonlinearity I: Existence of Bounded Strong Solutions”, Adv. Differ. Equat., 17:11-12 (2012), 1181–1212        
90. Niu W., “Long-Time Behavior for a Nonlinear Parabolic Problem with Variable Exponents”, J. Math. Anal. Appl., 393:1 (2012), 56–65            
91. М. А. Сычев, “Полунепрерывность снизу и релаксация для интегральных функционалов с $p(x)$-, $p(x,u)$-ростом”, Сиб. матем. журн., 52:6 (2011), 1394–1413    ; M. A. Sychev, “Lower semicontinuity and relaxation for integral functionals with $p(x)$- and $p(x,u)$-growth”, Siberian Math. J., 52:6 (2011), 1108–1123    
92. Antontsev S., Shmarev S., “Elliptic equations with triple variable nonlinearity”, Complex Variables and Elliptic Equations, 56:7–9 (2011), 573–597          
93. Diening L., Lengeler D., Ruzicka M., “The Stokes and Poisson problem in variable exponent spaces”, Complex Variables and Elliptic Equations, 56:7–9 (2011), 789–811          
94. Diening L., Harjulehto P., Hasto P., Ruzicka M., “Lebesgue and Sobolev Spaces with Variable Exponents”, Lebesgue and Sobolev Spaces with Variable Exponents, Lecture Notes in Mathematics, 2017, 2011, 1          
95. Antontsev S., Shmarev S., “Parabolic equations with double variable nonlinearities”, Math Comput Simulation, 81:10 (2011), 2018–2032            
96. Yu. Alkhutov, “Elliptic problems with nonstandard conditions of growth: Zhikov's approach”, Complex Variables and Elliptic Equations, 56:7-9 (2011), 559  
97. Tomasz Adamowicz, Peter Hästö, “Harnack's inequality and the strongp(⋅)-Laplacian”, Journal of Differential Equations, 250:3 (2011), 1631  
98. P. Harjulehto, P. Hästö, V. Latvala, “Boundedness of solutions of the non-uniformly convex, non-standard growth Laplacian”, Complex Variables and Elliptic Equations, 56:7-9 (2011), 643  
99. В. В. Жиков, С. Е. Пастухова, “О свойстве повышенной суммируемости для параболических систем переменного порядка нелинейности”, Матем. заметки, 87:2 (2010), 179–200        ; V. V. Zhikov, S. E. Pastukhova, “On the Property of Higher Integrability for Parabolic Systems of Variable Order of Nonlinearity”, Math. Notes, 87:2 (2010), 169–188    
100. Sychev M.A., “Integral functionals with p(x)- and p(x, u)-growth”, Doklady Mathematics, 81:2 (2010), 272–273            
101. Pastukhova S.E., “Nonstationary version of Zhikov's compensated compactness lemma and its application to the solvability of the generalized Navier–Stokes equations”, Doklady Mathematics, 81:1 (2010), 66–71            
102. Antontsev S., Shmarev S., “Vanishing solutions of anisotropic parabolic equations with variable nonlinearity”, J Math Anal Appl, 361:2 (2010), 371–391            
103. Zhang Ch., Zhou Sh., “Entropy and Renormalized Solutions for the P(X)-Laplacian Equation with Measure Data”, Bull. Aust. Math. Soc., 82:3 (2010), 459–479          
104. Kim Yu.-H., Wang L., Zhang Ch., “Global Bifurcation for a Class of Degenerate Elliptic Equations with Variable Exponents”, J. Math. Anal. Appl., 371:2 (2010), 624–637            
105. Bendahmane M., Wittbold P., Zimmermann A., “Renormalized Solutions for a Nonlinear Parabolic Equation with Variable Exponents and l-1-Data”, J. Differ. Equ., 249:6 (2010), 1483–1515            
106. Zhang Ch., Zhou Sh., “Renormalized and Entropy Solutions for Nonlinear Parabolic Equations with Variable Exponents and l-1 Data”, J. Differ. Equ., 248:6 (2010), 1376–1400            
107. В. В. Жиков, “К технике предельного перехода в нелинейных эллиптических уравнениях”, Функц. анализ и его прил., 43:2 (2009), 19–38        ; V. V. Zhikov, “On the Technique for Passing to the Limit in Nonlinear Elliptic Equations”, Funct. Anal. Appl., 43:2 (2009), 96–112      
108. Antontsev S., Shmarev S., “Anisotropic parabolic equations with variable nonlinearity”, Publ. Mat., 53:2 (2009), 355–399            
109. Antontsev S., Consiglieri L., “Elliptic boundary value problems with nonstandard growth conditions”, Nonlinear Anal., 71:3–4 (2009), 891–902            
110. Harjulehto P., Hästö P., Latvala V., “Harnack's inequality for $p(\cdot)$-harmonic functions with unbounded exponent $p$”, J. Math. Anal. Appl., 352:1 (2009), 345–359            
111. Diening L., Hästö P., Roudenko S., “Function spaces of variable smoothness and integrability”, J. Funct. Anal., 256:6 (2009), 1731–1768            
112. Bendahmane M., Wittbold P., “Renormalized solutions for nonlinear elliptic equations with variable exponents and L-1 data”, Nonlinear Analysis-Theory Methods & Applications, 70:2 (2009), 567–583          
113. В. В. Жиков, С. Е. Пастухова, “О повышенной суммируемости градиента решений эллиптических уравнений с переменным показателем нелинейности”, Матем. сб., 199:12 (2008), 19–52            ; V. V. Zhikov, S. E. Pastukhova, “Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent”, Sb. Math., 199:12 (2008), 1751–1782      
114. Ю. А. Алхутов, О. В. Крашенинникова, “О непрерывности решений эллиптических уравнений с переменным порядком нелинейности”, Дифференциальные уравнения и динамические системы, Сборник статей, Труды МИАН, 261, МАИК «Наука/Интерпериодика», М., 2008, 7–15        ; Yu. A. Alkhutov, O. V. Krasheninnikova, “On the Continuity of Solutions to Elliptic Equations with Variable Order of Nonlinearity”, Proc. Steklov Inst. Math., 261 (2008), 1–10      
115. S. N. Antontsev, S. I. Shmarev, “Extinction of Solutions of Parabolic Equations with Variable Anisotropic Nonlinearities”, Дифференциальные уравнения и динамические системы, Сборник статей, Труды МИАН, 261, МАИК «Наука/Интерпериодика», М., 2008, 16–25        ; Proc. Steklov Inst. Math., 261 (2008), 11–21      
116. В. В. Жиков, “Разрешимость трехмерной задачи о термисторе”, Дифференциальные уравнения и динамические системы, Сборник статей, Труды МИАН, 261, МАИК «Наука/Интерпериодика», М., 2008, 101–114        ; V. V. Zhikov, “Solvability of the Three-Dimensional Thermistor Problem”, Proc. Steklov Inst. Math., 261 (2008), 98–111      
117. Жиков В.В., Пастухова С.Е., “О лемме Геринга”, Докл. РАН, 419:4 (2008), 443–448        ; Zhikov V.V., Pastukhova S.E., “On Gehring's lemma”, Dokl. Math., 77:2 (2008), 243–248            
118. Harjulehto P., Hästö P., Latvala V., “Minimizers of the variable exponent, non-uniformly convex Dirichlet energy”, J. Math. Pures Appl. (9), 89:2 (2008), 174–197          
119. Zhikov V.V., “Existence Theorem for Some Pairs of Coupled Elliptic Equations”, Dokl. Math., 77:1 (2008), 80–84          
120. Diening L., Hästö P., “Variable exponent trace spaces”, Studia Math., 183:2 (2007), 127–141          
121. Hästö P.A., “On the density of continuous functions in variable exponent Sobolev space”, Rev. Mat. Iberoam., 23:1 (2007), 213–234          
122. Antontsev S., Shmarev S., “Elliptic equations and systems with nonstandard growth conditions: Existence, uniqueness and localization properties of solutions”, Nonlinear Analysis-Theory Methods & Applications, 65:4 (2006), 728–761          
123. С.Н. Антонцев, С. И. Шмарёв, “О локализации решений эллиптических уравнений с неоднородным анизотропным вырождением”, Сиб. матем. журн., 46:5 (2005), 963–984      ; S. N. Antontsev, S. I. Shmarev, “On localization of solutions of elliptic equations with nonhomogeneous anisotropic degeneracy”, Siberian Math. J., 46:5 (2005), 765–782    
124. Antontsev S., Zhikov V., “Higher Integrability for Parabolic Equations of P(X, T)-Laplacian Type”, Adv. Differ. Equat., 10:9 (2005), 1053–1080