Alkhutov Yuriy Alexandrovich

Publications in Math-Net.Ru

1. On the Boyarsky–Meyers estimate for the solution of the Dirichlet problem for a second-order linear elliptic equation with drift
   
   CMFD, 70:1 (2024),  1–14
2. On the Boyarsky–Meyers estimate for the gradient of the solution to the Dirichlet problem for a second-order linear elliptic equation with drift: The case of critical Sobolev exponent
   
   Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024),  87–92
3. Multidimensional Zaremba problem for the $p(\,\cdot\,)$-laplace equation. A Boyarsky–Meyers estimate
   
   TMF, 218:1 (2024),  3–22
4. On Zaremba problem for second–order linear elliptic equation with drift in case of limit exponent
   
   Ufimsk. Mat. Zh., 16:4 (2024),  3–13
5. On higher integrability of the gradient of solutions to the Zaremba problem for $p$-Laplace equation
   
   Dokl. RAN. Math. Inf. Proc. Upr., 512 (2023),  47–51
6. Many-dimensional Zaremba problem for an inhomogeneous $p$-Laplace equation
   
   Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022),  37–41
7. Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation
   
   Dokl. RAN. Math. Inf. Proc. Upr., 497 (2021),  3–6
8. Interior and boundary continuity of $p(x)$-harmonic functions
   
   Zap. Nauchn. Sem. POMI, 508 (2021),  7–38
9. Hölder Continuity and Harnack's Inequality for $p(x)$-Harmonic Functions
   
   Trudy Mat. Inst. Steklova, 308 (2020),  7–27
10. Estimates of the fundamental solution for an elliptic equation in divergence form with drift
    
    Zap. Nauchn. Sem. POMI, 489 (2020),  7–35
11. Harnack inequality for the elliptic $p(x)$-Laplacian with a three-phase exponent $p(x)$
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020),  1329–1338
12. Behavior of solutions of the Dirichlet Problem for the $ p(x)$-Laplacian at a boundary point
    
    Algebra i Analiz, 31:2 (2019),  88–117
13. Harnack's inequality for the $p(x)$-Laplacian with a two-phase exponent $p(x)$
    
    Tr. Semim. im. I. G. Petrovskogo, 32 (2019),  8–56
14. Necessary and sufficient condition for the stabilization of the solution of a mixed problem for nondivergence parabolic equations to zero
    
    Tr. Mosk. Mat. Obs., 75:2 (2014),  277–308
15. Existence and uniqueness theorems for solutions of parabolic equations with a variable nonlinearity exponent
    
    Mat. Sb., 205:3 (2014),  3–14
16. Hölder continuity of solutions of nondivergent degenerate second-order elliptic equations
    
    Tr. Semim. im. I. G. Petrovskogo, 29 (2013),  5–42
17. Harnack inequality for a class of second-order degenerate elliptic equations
    
    Trudy Mat. Inst. Steklova, 278 (2012),  7–15
18. Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent
    
    Tr. Semim. im. I. G. Petrovskogo, 28 (2011),  8–74
19. Existence theorems for solutions of parabolic equations with variable order of nonlinearity
    
    Trudy Mat. Inst. Steklova, 270 (2010),  21–32
20. $L_p$-solubility of the Dirichlet problem for the heat operator
    
    Uspekhi Mat. Nauk, 64:1(385) (2009),  137–138
21. On the Continuity of Solutions to Elliptic Equations with Variable Order of Nonlinearity
    
    Trudy Mat. Inst. Steklova, 261 (2008),  7–15
22. Hölder continuity of $p(x)$-harmonic functions
    
    Mat. Sb., 196:2 (2005),  3–28
23. Continuity at boundary points of solutions of quasilinear elliptic equations with a non-standard growth condition
    
    Izv. RAN. Ser. Mat., 68:6 (2004),  3–60
24. $L_p$-solubility of the Dirichlet problem for the heat equation in non-cylindrical domains
    
    Mat. Sb., 193:9 (2002),  3–40
25. The leading term of the spectral asymptotics for the Kohn–Laplace operator in a bounded domain
    
    Mat. Zametki, 64:4 (1998),  493–505
26. $L_p$-estimates of the solution of the Dirichlet problem for second-order elliptic equations
    
    Mat. Sb., 189:1 (1998),  3–20
27. The Harnack inequality and the Hölder property of solutions of nonlinear elliptic equations with a nonstandard growth condition
    
    Differ. Uravn., 33:12 (1997),  1651–1660
28. The behavior of solutions of parabolic second-order equations in noncylindrical domains
    
    Dokl. Akad. Nauk, 345:5 (1995),  583–585
29. Solvability of the Dirichlet problem for second-order elliptic equations in a convex domain
    
    Differ. Uravn., 28:5 (1992),  806–818
30. Removable singularities of solutions of second-order parabolic equations
    
    Mat. Zametki, 50:5 (1991),  9–17
31. Smoothness and limiting properties of solutions of a second-order parabolic equation
    
    Mat. Zametki, 50:4 (1991),  150–152
32. Local properties of solutions of non-divergent parabolic equations of second order
    
    Uspekhi Mat. Nauk, 45:5(275) (1990),  175–176
33. Removable singularities of solutions of parabolic equations
    
    Uspekhi Mat. Nauk, 43:1(259) (1988),  189–190
34. The first boundary value problem for nondivergence second order parabolic equations with discontinuous coefficients
    
    Mat. Sb. (N.S.), 131(173):4(12) (1986),  477–500
35. Some properties of the solutions of the first boundary value problem for parabolic equations with discontinuous coefficients
    
    Dokl. Akad. Nauk SSSR, 284:1 (1985),  11–16
36. Regularity of boundary points relative to the Dirichlet problem for second-order elliptic equations
    
    Mat. Zametki, 30:3 (1981),  333–342


37. Vasilii Vasilievich Zhikov
    
    Tr. Semim. im. I. G. Petrovskogo, 32 (2019),  5–7
38. Vasilii Vasil'evich Zhikov (obituary)
    
    Uspekhi Mat. Nauk, 73:3(441) (2018),  169–176