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Publications in Math-Net.Ru
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A survey of results of St.Petersburg State University research school on nonlinear partial differential equations I
Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:1 (2024), 3–37
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Uniform estimates near the initial state for solutions of the two-phase parabolic problem
Algebra i Analiz, 25:2 (2013), 63–74
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The Harnack inequality and related properties for solutions to elliptic and parabolic equations with divergence-free lower-order coefficients
Algebra i Analiz, 23:1 (2011), 136–168
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On the Lipschitz property of the free boundary in a parabolic problem with obstacle
Algebra i Analiz, 15:3 (2003), 78–103
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On the global solutions of the parabolic obstacle problem
Algebra i Analiz, 14:1 (2002), 3–25
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Contact of a free boundary with a fixed boundary
Mat. Sb., 191:2 (2000), 165–173
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Boundary estimates for solutions to the parabolic free boundary problem
Zap. Nauchn. Sem. POMI, 271 (2000), 39–55
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On properties of the free boundary in the neighborhood of contact with the given boundary
Zap. Nauchn. Sem. POMI, 249 (1997), 303–312
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$C^1$ regularity of the boundary of a noncoincident set in a problem with an obstacle
Algebra i Analiz, 8:2 (1996), 205–221
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On the behavior of free boundaries near the boundary of the domain
Zap. Nauchn. Sem. POMI, 221 (1995), 5–19
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Surfaces with inclination-dependent mean curvature
Algebra i Analiz, 6:3 (1994), 231–241
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Local estimates of the gradients of solution to a simplest regularisation for some class of nonuniformly elliptic
Zap. Nauchn. Sem. POMI, 213 (1994), 75–92
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Oblique Boundary Value Problem for Quasilinear Parabolic Equation
Zap. Nauchn. Sem. POMI, 200 (1992), 118–131
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Nonlinear oblique boundary value problem for parabolic equations
Zap. Nauchn. Sem. LOMI, 188 (1991), 143–158
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On the existence of smooth solutions for parabolic sistems with convex constraints on the boundary
Zap. Nauchn. Sem. LOMI, 171 (1989), 5–11
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Estimates on the boundary of the domain of first derivatives of functions satisfying an elliptic or a parabolic inequality
Trudy Mat. Inst. Steklov., 179 (1988), 102–125
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Regularity of the solution of a problem with a two-sided limit on a boundary for elliptic and parabolic equations
Trudy Mat. Inst. Steklov., 179 (1988), 5–22
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Regularity of solutions of variational inequalities
Uspekhi Mat. Nauk, 42:6(258) (1987), 151–174
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A Lipschitz estimate at the boundary points for the solutions of quasilinear equations of divergence form
Sibirsk. Mat. Zh., 28:4 (1987), 145–153
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Best possible smoothness of solutions of variational inequalities in the case of convex constraints on the boundary of the domain
Zap. Nauchn. Sem. LOMI, 163 (1987), 5–16
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A survey of results on the solubility of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities
Uspekhi Mat. Nauk, 41:5(251) (1986), 59–83
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The regularity of solutions of diagonal elliptic systems under boundary convex constraints
Zap. Nauchn. Sem. LOMI, 152 (1986), 5–17
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Solvability of the first boundary value problem for quasilinear
elliptic and parabolic equations in the presence of singularities
Dokl. Akad. Nauk SSSR, 281:2 (1985), 275–279
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Hölder continuity of gradients of solutions of parabolic equations with boundary conditions of Signorini type
Dokl. Akad. Nauk SSSR, 280:3 (1985), 563–565
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Convex-monotonous bulls and an estimate of Biaximum for solutions of the parabolic equation
Zap. Nauchn. Sem. LOMI, 147 (1985), 95–109
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Estimates of Holder constants for functions satisfying a uniformly elliptic or uniformly parabolic quasilinear inequality with unbounded coefficients
Zap. Nauchn. Sem. LOMI, 147 (1985), 72–94
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On estimates of $\max|u_x|$ for solutions of quasilinear elliptic and parabolic equations of the general type and on some existence theorems
Zap. Nauchn. Sem. LOMI, 138 (1984), 90–107
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Estimates for the maxima of the moduli of the gradients for solutions of capillarity problems
Zap. Nauchn. Sem. LOMI, 115 (1982), 274–284
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An estimate of the Hölder norm of solutions of quasilinear general elliptic equations of the second order
Zap. Nauchn. Sem. LOMI, 96 (1980), 161–168
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Strong solutions of the generalized Signorini problem
Sibirsk. Mat. Zh., 19:5 (1978), 1204–1212
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On the regularity of solutions of variational inequalities
Zap. Nauchn. Sem. LOMI, 27 (1972), 211–219
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Nonlinear boundary value problems for equations of minimal surface type
Trudy Mat. Inst. Steklov., 116 (1971), 217–226
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A priori estimates for quasilinear parabolic equations with discontinuous coefficients and their application in approximation methods
Dokl. Akad. Nauk SSSR, 185:2 (1969), 271–274
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Non-selfadjointness in $L_2(R^n)$ of an elliptic operator with increasing coefficients
Zap. Nauchn. Sem. LOMI, 14 (1969), 288–294
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The solvability of the diffraction problems for quasilinear parabolic equations
Zap. Nauchn. Sem. LOMI, 14 (1969), 191–199
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Gloval estimates of the gradient of solutions of quasilinear elliptic and parabolic equations
Zap. Nauchn. Sem. LOMI, 14 (1969), 127–155
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On some classes of nonuniformly elliptic equations
Zap. Nauchn. Sem. LOMI, 11 (1968), 129–149
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Degenerating quasilinear systems of elliptic type
Zap. Nauchn. Sem. LOMI, 7 (1968), 184–222
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On impossibility of $W_q^2$-estimates for the elliptic equations in several variables with discontinuous coefficients
Zap. Nauchn. Sem. LOMI, 5 (1967), 250–254
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On some classes of nonuniform elliptic equations
Zap. Nauchn. Sem. LOMI, 5 (1967), 186–191
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Certain properties of generalized solutions of parabolic equations of the second order
Dokl. Akad. Nauk SSSR, 168:1 (1966), 17–20
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The classical solvability of diffraction problems
Trudy Mat. Inst. Steklov., 92 (1966), 116–146
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Generalized solutions of parabolic equations of second order
Trudy Mat. Inst. Steklov., 92 (1966), 57–92
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Classical solvability of diffraction problems for equations of elliptic and parabolic types
Dokl. Akad. Nauk SSSR, 158:3 (1964), 513–515
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Hölder continuity of solutions and their derivatives for linear and quasi-linear equations of elliptic and parabolic type
Dokl. Akad. Nauk SSSR, 155:6 (1964), 1258–1261
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On the Hölder continuity of the solutions and the derivatives of linear and quasi-linear equations of elliptic and parabolic types
Trudy Mat. Inst. Steklov., 73 (1964), 172–220
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Boundary-value problems for linear and quasi-linear equations and systems of parabolic type. III
Izv. Akad. Nauk SSSR Ser. Mat., 27:1 (1963), 161–240
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Boundary-value problems for quasi-linear elliptic equations and systems with principal part of divergence type
Dokl. Akad. Nauk SSSR, 147:2 (1962), 313–316
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The first boundary-value problem for quasi-linear second-order parabolic equations of general type
Dokl. Akad. Nauk SSSR, 147:1 (1962), 28–30
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General second-order quasi-linear equations and certain classes of systems of equations of elliptic type
Dokl. Akad. Nauk SSSR, 146:4 (1962), 778–781
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Краевая задача для линейных и квазилинейных параболических уравнений. II
Izv. Akad. Nauk SSSR Ser. Mat., 26:5 (1962), 753–780
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A boundary-value problem for linear and quasi-linear parabolic equations. I
Izv. Akad. Nauk SSSR Ser. Mat., 26:1 (1962), 5–52
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Regularity of generalized solutions of quasilinear elliptic equations
Dokl. Akad. Nauk SSSR, 140:1 (1961), 45–47
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A boundary-value problem for linear and quasi-linear parabolic equations
Dokl. Akad. Nauk SSSR, 139:3 (1961), 544–547
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Differential properties of bounded generalized solutions of multidimensional quasilinear elliptic equations and variational problems
Dokl. Akad. Nauk SSSR, 138:1 (1961), 29–32
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Quasi-linear elliptic equations and variational problems with many independent variables
Uspekhi Mat. Nauk, 16:1(97) (1961), 19–90
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A variational problem for quasilinear elliptic equations with many independent variables
Dokl. Akad. Nauk SSSR, 135:6 (1960), 1330–1333
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Regularity of solutions of multidimensional elliptic equations and variational problems
Dokl. Akad. Nauk SSSR, 130:6 (1960), 1206–1209
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On the 90th birthday of Vsevolod Alekseevich Solonnikov
Uspekhi Mat. Nauk, 78:5(473) (2023), 187–198
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Viktor Abramovich Zalgaller (obituary)
Uspekhi Mat. Nauk, 76:5(461) (2021), 195–198
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Vasilii Mikhailovich Babich (on his ninetieth birthday)
Uspekhi Mat. Nauk, 76:1(457) (2021), 201–202
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Mikhail Zakharovich Solomyak (obituary)
Uspekhi Mat. Nauk, 72:5(437) (2017), 181–186
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Vladimir Savel'evich Buslaev (obituary)
Uspekhi Mat. Nauk, 69:1(415) (2014), 163–168
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Mikhail Shlemovich Birman (obituary)
Uspekhi Mat. Nauk, 65:3(393) (2010), 185–190
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To Solonnikov's jubilee
Zap. Nauchn. Sem. POMI, 362 (2008), 5–14
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Olga Aleksandrovna Ladyzhenskaya (obituary)
Uspekhi Mat. Nauk, 59:3(357) (2004), 151–152
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Ol'ga Aleksandrovna Ladyzhenskaya (on her 80th birthday)
Uspekhi Mat. Nauk, 58:2(350) (2003), 181–206
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To Vsevolod Alekseevich Solonnikov on the occasion of his jubilee
Zap. Nauchn. Sem. POMI, 306 (2003), 7–15
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To the jubillee of O. A. Ladyzhenskaya
Zap. Nauchn. Sem. POMI, 288 (2002), 5–13
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Ol'ga Aleksandrovna Ladyzhenskaya (on her sixtieth birthday)
Uspekhi Mat. Nauk, 38:5(233) (1983), 215–223
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