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Maz'ya Vladimir Gilelevich

Publications in Math-Net.Ru

  1. On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions

    Algebra i Analiz, 32:3 (2020),  219–237
  2. Sharp estimates for the gradient of solutions to the heat equation

    Algebra i Analiz, 31:3 (2019),  136–153
  3. Solvability criteria for the Neumann $p$-Laplacian with irregular data

    Algebra i Analiz, 30:3 (2018),  129–139
  4. Elliptic equations in convex domains

    Algebra i Analiz, 29:1 (2017),  209–221
  5. The Inhomogeneous Dirichlet Problem for the Stokes System in Lipschitz Domains with Unit Normal Close to VMO

    Funktsional. Anal. i Prilozhen., 43:3 (2009),  65–88
  6. Uniqueness of the solution to an inverse thermoelasticity problem

    Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009),  542–548
  7. On solvability of the Neumann problem in domains with peak

    Algebra i Analiz, 20:5 (2008),  109–154
  8. Imbedding theorems for Sobolev spaces on domains with peak and on Hölder domains

    Algebra i Analiz, 18:4 (2006),  95–126
  9. Sharp Pointwise Interpolation Inequalities for Derivatives

    Funktsional. Anal. i Prilozhen., 36:1 (2002),  36–58
  10. Boundary values of functions from Sobolev spaces in some non-Lipschitzian domains

    Algebra i Analiz, 11:1 (1999),  141–170
  11. Integral equations of logarithmic potential theory on contours with a cusp in Hölder spaces

    Algebra i Analiz, 10:5 (1998),  85–142
  12. On the spectrum of an operator pencil generated by the Neumann problem in a cone

    Algebra i Analiz, 3:2 (1991),  111–131
  13. On the spectrum of the operator pencil generated by the Dirichlet problem in a cone

    Mat. Sb., 182:5 (1991),  638–660
  14. An iterative method for solving the Cauchy problem for elliptic equations

    Zh. Vychisl. Mat. Mat. Fiz., 31:1 (1991),  64–74
  15. On the behavior of the gradient of the solution of the Dirichlet problem for the biharmonic equation near a boundary point of a three-dimensional domain

    Sibirsk. Mat. Zh., 31:6 (1990),  113–126
  16. Iterative procedures for solving ill-posed boundary value problems that preserve the differential equations

    Algebra i Analiz, 1:5 (1989),  144–170
  17. On sign variation and the absence of “strong” zeros of solutions of elliptic equations

    Izv. Akad. Nauk SSSR Ser. Mat., 53:2 (1989),  328–344
  18. Traces of functions in Sobolev spaces on a boundary of a domain with a cusp

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 14 (1989),  182–208
  19. Traces of the functions of S. L. Sobolev spaces on small and large components of a boundary

    Mat. Zametki, 45:4 (1989),  69–77
  20. Traces of functions with summable gradient in a domain with a peak summit on the boundary

    Mat. Zametki, 45:1 (1989),  57–65
  21. On an integral equation for the Dirichlet problem in a plane domain with cusps on the boundary

    Mat. Sb., 180:9 (1989),  1211–1233
  22. Singularities of solutions of the Neumann problem at a conic point

    Sibirsk. Mat. Zh., 30:3 (1989),  52–63
  23. Solvability of an integral equation of the Dirichlet problem in a plane domain with cusps on the boundary

    Dokl. Akad. Nauk SSSR, 298:6 (1988),  1312–1315
  24. Unique solvability of a plane stationary problem connected with the motion of a body submerged in a fluid

    Differ. Uravn., 24:11 (1988),  1928–1940
  25. Spectral properties of the operator bundles generated by elliptic boundary-value problems in a cone

    Funktsional. Anal. i Prilozhen., 22:2 (1988),  38–46
  26. Boundary integral equations

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 27 (1988),  131–228
  27. Classes of domains, measures and capacities in the theory of differentiable functions

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 26 (1988),  159–228
  28. A sharp constant in a Miranda–Agmon-type inequality for solutions of elliptic equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 5,  41–50
  29. On unique solvability of the plane Neumann–Kelvin problem

    Mat. Sb. (N.S.), 135(177):4 (1988),  440–462
  30. Averaging of differential equations on a fine grid

    Dokl. Akad. Nauk SSSR, 293:4 (1987),  792–796
  31. Singularities of solutions of the first boundary value problem for the heat equation in domains with conical points. II

    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 3,  37–44
  32. Singularities of solutions of the first boundary value problem for the heat equation in domains with conical points

    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 2,  38–46
  33. Asymptotic behavior of energy integrals under small perturbations of the boundary near corner and conic points

    Tr. Mosk. Mat. Obs., 50 (1987),  79–129
  34. Asymptotics of solutions of one-dimensional difference equations with constant operator coefficients

    Mat. Sb. (N.S.), 132(174):4 (1987),  451–469
  35. Paradoxes of limit passage in solutions of boundary value problems involving the approximation of smooth domains by polygonal domains

    Izv. Akad. Nauk SSSR Ser. Mat., 50:6 (1986),  1156–1177
  36. The vertex of a cone can be nonregular in the Wiener sense for a fourth-order elliptic equation

    Mat. Zametki, 39:1 (1986),  24–28
  37. Extension of functions belonging to S. L. Sobolev spaces into the exterior of a domain with a cusp on the boundary

    Dokl. Akad. Nauk SSSR, 275:5 (1984),  1066–1069
  38. Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes

    Izv. Akad. Nauk SSSR Ser. Mat., 48:2 (1984),  347–371
  39. On the maximum principle for strongly elliptic and parabolic second order systems with constant coefficients

    Mat. Sb. (N.S.), 125(167):4(12) (1984),  458–480
  40. The Dirichlet problem in domains with thin cross connections

    Sibirsk. Mat. Zh., 25:2 (1984),  161–179
  41. On the modulus of continuity of a harmonic function at a boundary point

    Zap. Nauchn. Sem. LOMI, 135 (1984),  87–95
  42. The maximum principle for second-order elliptic and parabolic systems

    Dokl. Akad. Nauk SSSR, 273:1 (1983),  38–41
  43. Bending of a near-polygonal plate with a free open boundary

    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 8,  34–40
  44. Theory of multipliers in spaces of differentiable functions

    Uspekhi Mat. Nauk, 38:3(231) (1983),  23–86
  45. On the singularities of solutions of the Dirichlet problem in the exterior of a slender cone

    Mat. Sb. (N.S.), 122(164):4(12) (1983),  435–457
  46. Functions with finite Dirichlet integral in a domain with a cusp at the boundary

    Zap. Nauchn. Sem. LOMI, 126 (1983),  117–137
  47. Calculation of the asymptotics of “coefficients of intensity” in the coming together of corner or conic points

    Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983),  333–346
  48. On homogeneous solutions of the Dirichlet problem in the exterior of a slender cone

    Dokl. Akad. Nauk SSSR, 266:2 (1982),  281–284
  49. An analogue of the wiener criterion for the zaremba problem in a cylindrical domain

    Funktsional. Anal. i Prilozhen., 16:4 (1982),  70–71
  50. Asymptotics of the solution of the Dirichlet problem in domains with a thin crosspiece

    Funktsional. Anal. i Prilozhen., 16:2 (1982),  39–46
  51. Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients

    Zap. Nauchn. Sem. LOMI, 115 (1982),  156–168
  52. On the asymptotics of solutions of the Dirichlet problem in a three-dimensional domain with a slender cavity

    Dokl. Akad. Nauk SSSR, 256:1 (1981),  37–39
  53. On the maximum principle for the biharmonic equation in a domain with conical points

    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 2,  52–59
  54. Multipliers in pairs of spaces of differentiable functions

    Tr. Mosk. Mat. Obs., 43 (1981),  37–80
  55. On the asymptotic behaviour of solutions of the Dirichlet problem in a domain with a thin tube excluded

    Uspekhi Mat. Nauk, 36:5(221) (1981),  183–184
  56. Asymptotics of solutions of the Dirichlet problem in a domain with a truncated thin tube

    Mat. Sb. (N.S.), 116(158):2(10) (1981),  187–217
  57. Extension of functions from Sobolev spaces

    Zap. Nauchn. Sem. LOMI, 113 (1981),  231–236
  58. Requirements on the boundary in the $L_p$-theory of elliptic boundary value problems

    Dokl. Akad. Nauk SSSR, 251:5 (1980),  1055–1059
  59. A problem on the motion of a fluid with a free surface in a container with piecewise smooth walls

    Dokl. Akad. Nauk SSSR, 250:6 (1980),  1315–1317
  60. An integral representation of functions, satisfying homogeneous boundary conditions, and its applications

    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 2,  34–44
  61. On the characteristic Cauchy problem for a hyperbolic equation

    Uspekhi Mat. Nauk, 35:1(211) (1980),  193–194
  62. On the first boundary value problem for the equations of hydrodynamics in a domain with a pieswise smooth boundary

    Zap. Nauchn. Sem. LOMI, 96 (1980),  179–186
  63. Asymptotic solutions of elliptic boundary value problems when the domain is varied close to conical points

    Dokl. Akad. Nauk SSSR, 249:1 (1979),  94–96
  64. On the essential norm of an operator of double layer potential type in the space $\mathbb{C}_m$

    Dokl. Akad. Nauk SSSR, 246:2 (1979),  272–275
  65. On multipliers in function spaces with fractional derivatives

    Dokl. Akad. Nauk SSSR, 244:5 (1979),  1065–1067
  66. Traces and extensions of multipliers in the space $W^l_p$

    Uspekhi Mat. Nauk, 34:2(206) (1979),  205–206
  67. On summability with respect to an arbitrary measure of functions from Sobolev–Slobodetsky spaces

    Zap. Nauchn. Sem. LOMI, 92 (1979),  192–202
  68. State of stress and strain near the vertex of a crack in a plate in nonlinear bending

    Dokl. Akad. Nauk SSSR, 243:4 (1978),  889–892
  69. $L_p$-estimates of solutions of elliptic boundary value problems in domains with ribs

    Tr. Mosk. Mat. Obs., 37 (1978),  49–93
  70. Estimates of the Green functions and Schauder estimates of the solutions of elliptic boundary value problems in a two-sided corner

    Sibirsk. Mat. Zh., 19:5 (1978),  1065–1082
  71. 10.6. Regularity of boundary points for elliptic equations

    Zap. Nauchn. Sem. LOMI, 81 (1978),  197–199
  72. On the behavior near the boundary of solutions of the Dirichlet problem for the biharmonic operator

    Dokl. Akad. Nauk SSSR, 235:6 (1977),  1263–1266
  73. On the relationship between the Martin and Euclidean topologies

    Dokl. Akad. Nauk SSSR, 233:1 (1977),  27–30
  74. A well-posed problem for singular integral equations with a symbol that goes to zero

    Differ. Uravn., 13:8 (1977),  1479–1486
  75. Imbedding theorems and the spectrum of a certain pseudodifferential operator

    Sibirsk. Mat. Zh., 18:5 (1977),  1073–1087
  76. Local square summability of convolutions

    Zap. Nauchn. Sem. LOMI, 73 (1977),  211–216
  77. Strong capacity-estimates for “fractional” norms

    Zap. Nauchn. Sem. LOMI, 70 (1977),  161–168
  78. Solvability of the problem on the oscillations of a fluid containing a submerged body

    Zap. Nauchn. Sem. LOMI, 69 (1977),  124–128
  79. On the coefficients in the asymptotics of solutions of elliptic boundary value problems near the edge

    Dokl. Akad. Nauk SSSR, 229:1 (1976),  33–36
  80. On the dominance of differential operators with constant coefficients in a half-space

    Dokl. Akad. Nauk SSSR, 221:3 (1975),  528–531
  81. Estimates for differential operators with constant coefficients in a half-space

    Mat. Sb. (N.S.), 96(138):2 (1975),  240–275
  82. On the coefficients in the asymptotic of solutions of the celiptic boundary problem in a cone

    Zap. Nauchn. Sem. LOMI, 52 (1975),  110–127
  83. On the coefficients in the asymptotics of solutions of elliptic boundary- value problems near conical points

    Dokl. Akad. Nauk SSSR, 219:2 (1974),  286–289
  84. Problem concerning steady-state oscillations of a layer of fluid in the presence of an obstacle

    Dokl. Akad. Nauk SSSR, 216:4 (1974),  759–762
  85. Estimates on the boundary for differential operators with constant coefficients in a half-space

    Izv. Akad. Nauk SSSR Ser. Mat., 38:3 (1974),  663–720
  86. The closure in $L_p$ of the operator of the Dirichlet problem in a domain with conical points

    Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 6,  8–19
  87. Degenerate elliptic pseudo-differential operators and the problem with oblique derivative

    Tr. Mosk. Mat. Obs., 31 (1974),  237–295
  88. The solutions of the Cauchy problem for the Laplace equation (uniqueness, normality, approximation)

    Tr. Mosk. Mat. Obs., 30 (1974),  61–114
  89. On a problem with oblique derivative for a domain of polyhedral type

    Dokl. Akad. Nauk SSSR, 211:1 (1973),  40–43
  90. Asymptotic behavior of the solution of the Navier-Stokes equations near fins

    Dokl. Akad. Nauk SSSR, 210:4 (1973),  803–806
  91. On elliptic boundary value problems with discontinuous coefficients on manifolds with singularities

    Dokl. Akad. Nauk SSSR, 210:3 (1973),  529–532
  92. On $(p,l)$-capacity, inbedding theorems, and the spectrum of a selfadjoint elliptic operator

    Izv. Akad. Nauk SSSR Ser. Mat., 37:2 (1973),  356–385
  93. The coercivity of the Dirichlet problem in a domain with irregular boundary

    Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 4,  64–76
  94. On the problem of the steady oscillations of a layer of fluid of variable depth

    Tr. Mosk. Mat. Obs., 28 (1973),  57–74
  95. On the plane problem of the motion of a solid immersed in a fluid

    Tr. Mosk. Mat. Obs., 28 (1973),  35–56
  96. Use of $(p,l)$-capacity in problems of the theory of exceptional sets

    Mat. Sb. (N.S.), 90(132):4 (1973),  558–591
  97. On behaviour of solutions of quasilinear elliptic boundary value problems in the neighbourhood of a conic point

    Zap. Nauchn. Sem. LOMI, 38 (1973),  94–97
  98. Certain stationary problems in the linear theory of surface waves

    Dokl. Akad. Nauk SSSR, 205:2 (1972),  310–313
  99. Estimates for differential operators with constant coefficients in a halfspace

    Dokl. Akad. Nauk SSSR, 202:4 (1972),  751–754
  100. On the asymptotic behavior of solutions of differential equations in Hilbert space

    Izv. Akad. Nauk SSSR Ser. Mat., 36:5 (1972),  1080–1133
  101. A certain class of manifolds with singularities

    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 11,  46–52
  102. The absence of the continuity and Hölder continuity of the solutions of quasilinear elliptic equations near a nonregular boundary

    Tr. Mosk. Mat. Obs., 26 (1972),  75–94
  103. Non-linear potential theory

    Uspekhi Mat. Nauk, 27:6(168) (1972),  67–138
  104. On a degenerating problem with directional derivative

    Mat. Sb. (N.S.), 87(129):3 (1972),  417–454
  105. Asymptotic behavior of the solutions of elliptic equations of the second order near a boundary. II

    Sibirsk. Mat. Zh., 13:6 (1972),  1239–1271
  106. Approximation in the mean by harmonic functions

    Zap. Nauchn. Sem. LOMI, 30 (1972),  91–105
  107. On Beurling's theorem on the minimum principle for positive harmonic functions

    Zap. Nauchn. Sem. LOMI, 30 (1972),  76–90
  108. On removable singularities of bounded solutions of quasilinear elliptic equations of arbitrary order

    Zap. Nauchn. Sem. LOMI, 27 (1972),  116–130
  109. On the asymptotic behavior of solutions of differential equations with operator coefficients

    Dokl. Akad. Nauk SSSR, 196:3 (1971),  512–515
  110. Problems with oblique derivatives in regions with piecewise smooth boundaries

    Funktsional. Anal. i Prilozhen., 5:3 (1971),  102–103
  111. Asymptotic behavior of solutions of elliptic equations of the second order close to a boundary. I

    Sibirsk. Mat. Zh., 12:6 (1971),  1217–1249
  112. A nonlinear analogue of the Newtonian potential, and metric properties of $(p,l)$-capacity

    Dokl. Akad. Nauk SSSR, 194:4 (1970),  770–773
  113. Coercive estimates and regularity of the solution of degenerate elliptic pseudodifferential equations

    Funktsional. Anal. i Prilozhen., 4:4 (1970),  41–56
  114. The degenerate problem with oblique derivative

    Uspekhi Mat. Nauk, 25:2(152) (1970),  275–276
  115. A general theory of relaxation processes for convex functionals

    Uspekhi Mat. Nauk, 25:1(151) (1970),  193–194
  116. Degenerate elliptic pseudodifferential operators on a smooth manifold without boundary

    Funktsional. Anal. i Prilozhen., 3:2 (1969),  91–92
  117. Weak solutions of the Dirichlet and Neumann problems

    Tr. Mosk. Mat. Obs., 20 (1969),  137–172
  118. The lack of continuity and of Holder continuity of a quasilinear equation

    Zap. Nauchn. Sem. LOMI, 14 (1969),  89–91
  119. Examples of nonregular solutions of quasilinear elliptic equations with analytic coefficients

    Funktsional. Anal. i Prilozhen., 2:3 (1968),  53–57
  120. The Neumann problem in regions with nonregular boundaries

    Sibirsk. Mat. Zh., 9:6 (1968),  1322–1350
  121. Asymptotic behavior of solutions of the Dirichlet problem near a nonregular boundary

    Dokl. Akad. Nauk SSSR, 176:3 (1967),  498–501
  122. The behavior near the boundary of the solution of the Dirichlet problem for an elliptic equation of the second order in divergence form

    Mat. Zametki, 2:2 (1967),  209–220
  123. On approximation in the mean by harmonic functions

    Zap. Nauchn. Sem. LOMI, 5 (1967),  196–200
  124. On a closure in the metric of generalized Dirichlet integral

    Zap. Nauchn. Sem. LOMI, 5 (1967),  192–195
  125. Certain questions of potential theory and function theory for regions with irregular boundaries

    Zap. Nauchn. Sem. LOMI, 3 (1967),  3–152
  126. On singular equations with a vanishing symbol

    Dokl. Akad. Nauk SSSR, 160:6 (1965),  1250–1253
  127. Polyharmonic capacity in the theory of the first boundary-value problem

    Sibirsk. Mat. Zh., 6:1 (1965),  127–148
  128. Solution of the Dirichlet and Neumann problems for irregular domains by potential-theoretic methods

    Dokl. Akad. Nauk SSSR, 159:6 (1964),  1221–1223
  129. On the theory of the higher-dimensional Schrödinger operator

    Izv. Akad. Nauk SSSR Ser. Mat., 28:5 (1964),  1145–1172
  130. Regularity at the boundary of solutions of elliptic equations and conformal mapping

    Dokl. Akad. Nauk SSSR, 152:6 (1963),  1297–1300
  131. The Dirichlet problem for elliptic equations of arbitrary order in unbounded regions

    Dokl. Akad. Nauk SSSR, 150:6 (1963),  1221–1224
  132. On the potential of a double layer for non-regular domains

    Dokl. Akad. Nauk SSSR, 147:3 (1962),  523–525
  133. On the solvability of the Neumann problem

    Dokl. Akad. Nauk SSSR, 147:2 (1962),  294–296
  134. The negative spectrum of the $n$-dimensional Schrödinger operator

    Dokl. Akad. Nauk SSSR, 144:4 (1962),  721–722
  135. On generating operators of semi-groups

    Uspekhi Mat. Nauk, 17:6(108) (1962),  151–154
  136. $p$-conductance and theorems of imbedding certain function spaces into the space $C$

    Dokl. Akad. Nauk SSSR, 140:2 (1961),  299–302
  137. Some estimates of solutions of second-order elliptic equations

    Dokl. Akad. Nauk SSSR, 137:5 (1961),  1057–1059
  138. Classes of domains and imbedding theorems for function spaces

    Dokl. Akad. Nauk SSSR, 133:3 (1960),  527–530

  139. Mikhail Aleksandrovich Shubin (obituary)

    Uspekhi Mat. Nauk, 75:6(456) (2020),  162–170
  140. Boris Rufimovich Vainberg (on his 80th birthday)

    Uspekhi Mat. Nauk, 74:1(445) (2019),  189–194
  141. Corrections to the paper “On the asymptotic behavior of solutions of differential equations in Hilbert space”

    Izv. Akad. Nauk SSSR Ser. Mat., 37:3 (1973),  709–710
  142. Solomon Grigor'evich Mikhlin (on the sixtieth anniversary of his birth).

    Uspekhi Mat. Nauk, 23:4(142) (1968),  269–272
  143. Linear and non-linear equations of parabolic type: O. A. Ladyzhenskaya, V.  A. Solonnikov and N. N. Ural'tseva. “Nauka”, Moscow, 1967. Lineinye i kvazilineinye uravneniya parabolicheskogo tipa

    Zh. Vychisl. Mat. Mat. Fiz., 8:5 (1968),  1178–1180

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