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Ural'tseva Nina Nikolaevna

Publications in Math-Net.Ru

  1. 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
  2. Properties of the phase boundary in the parabolic problem with hysteresis

    Zap. Nauchn. Sem. POMI, 536 (2024),  26–53
  3. Uniform estimates near the initial state for solutions of the two-phase parabolic problem

    Algebra i Analiz, 25:2 (2013),  63–74
  4. 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
  5. On the Lipschitz property of the free boundary in a parabolic problem with obstacle

    Algebra i Analiz, 15:3 (2003),  78–103
  6. On the global solutions of the parabolic obstacle problem

    Algebra i Analiz, 14:1 (2002),  3–25
  7. Contact of a free boundary with a fixed boundary

    Mat. Sb., 191:2 (2000),  165–173
  8. Boundary estimates for solutions to the parabolic free boundary problem

    Zap. Nauchn. Sem. POMI, 271 (2000),  39–55
  9. On properties of the free boundary in the neighborhood of contact with the given boundary

    Zap. Nauchn. Sem. POMI, 249 (1997),  303–312
  10. $C^1$ regularity of the boundary of a noncoincident set in a problem with an obstacle

    Algebra i Analiz, 8:2 (1996),  205–221
  11. On the behavior of free boundaries near the boundary of the domain

    Zap. Nauchn. Sem. POMI, 221 (1995),  5–19
  12. Surfaces with inclination-dependent mean curvature

    Algebra i Analiz, 6:3 (1994),  231–241
  13. 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
  14. Oblique Boundary Value Problem for Quasilinear Parabolic Equation

    Zap. Nauchn. Sem. POMI, 200 (1992),  118–131
  15. Nonlinear oblique boundary value problem for parabolic equations

    Zap. Nauchn. Sem. LOMI, 188 (1991),  143–158
  16. On the existence of smooth solutions for parabolic sistems with convex constraints on the boundary

    Zap. Nauchn. Sem. LOMI, 171 (1989),  5–11
  17. 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
  18. 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
  19. Regularity of solutions of variational inequalities

    Uspekhi Mat. Nauk, 42:6(258) (1987),  151–174
  20. A Lipschitz estimate at the boundary points for the solutions of quasilinear equations of divergence form

    Sibirsk. Mat. Zh., 28:4 (1987),  145–153
  21. 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
  22. 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
  23. The regularity of solutions of diagonal elliptic systems under boundary convex constraints

    Zap. Nauchn. Sem. LOMI, 152 (1986),  5–17
  24. 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
  25. Hölder continuity of gradients of solutions of parabolic equations with boundary conditions of Signorini type

    Dokl. Akad. Nauk SSSR, 280:3 (1985),  563–565
  26. Convex-monotonous bulls and an estimate of Biaximum for solutions of the parabolic equation

    Zap. Nauchn. Sem. LOMI, 147 (1985),  95–109
  27. 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
  28. 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
  29. Estimates for the maxima of the moduli of the gradients for solutions of capillarity problems

    Zap. Nauchn. Sem. LOMI, 115 (1982),  274–284
  30. 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
  31. Strong solutions of the generalized Signorini problem

    Sibirsk. Mat. Zh., 19:5 (1978),  1204–1212
  32. On the regularity of solutions of variational inequalities

    Zap. Nauchn. Sem. LOMI, 27 (1972),  211–219
  33. Nonlinear boundary value problems for equations of minimal surface type

    Trudy Mat. Inst. Steklov., 116 (1971),  217–226
  34. 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
  35. Non-selfadjointness in $L_2(R^n)$ of an elliptic operator with increasing coefficients

    Zap. Nauchn. Sem. LOMI, 14 (1969),  288–294
  36. The solvability of the diffraction problems for quasilinear parabolic equations

    Zap. Nauchn. Sem. LOMI, 14 (1969),  191–199
  37. Gloval estimates of the gradient of solutions of quasilinear elliptic and parabolic equations

    Zap. Nauchn. Sem. LOMI, 14 (1969),  127–155
  38. On some classes of nonuniformly elliptic equations

    Zap. Nauchn. Sem. LOMI, 11 (1968),  129–149
  39. Degenerating quasilinear systems of elliptic type

    Zap. Nauchn. Sem. LOMI, 7 (1968),  184–222
  40. 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
  41. On some classes of nonuniform elliptic equations

    Zap. Nauchn. Sem. LOMI, 5 (1967),  186–191
  42. Certain properties of generalized solutions of parabolic equations of the second order

    Dokl. Akad. Nauk SSSR, 168:1 (1966),  17–20
  43. The classical solvability of diffraction problems

    Trudy Mat. Inst. Steklov., 92 (1966),  116–146
  44. Generalized solutions of parabolic equations of second order

    Trudy Mat. Inst. Steklov., 92 (1966),  57–92
  45. Classical solvability of diffraction problems for equations of elliptic and parabolic types

    Dokl. Akad. Nauk SSSR, 158:3 (1964),  513–515
  46. 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
  47. 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
  48. 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
  49. 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
  50. The first boundary-value problem for quasi-linear second-order parabolic equations of general type

    Dokl. Akad. Nauk SSSR, 147:1 (1962),  28–30
  51. 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
  52. Краевая задача для линейных и квазилинейных параболических уравнений. II

    Izv. Akad. Nauk SSSR Ser. Mat., 26:5 (1962),  753–780
  53. A boundary-value problem for linear and quasi-linear parabolic equations. I

    Izv. Akad. Nauk SSSR Ser. Mat., 26:1 (1962),  5–52
  54. Regularity of generalized solutions of quasilinear elliptic equations

    Dokl. Akad. Nauk SSSR, 140:1 (1961),  45–47
  55. A boundary-value problem for linear and quasi-linear parabolic equations

    Dokl. Akad. Nauk SSSR, 139:3 (1961),  544–547
  56. Differential properties of bounded generalized solutions of multidimensional quasilinear elliptic equations and variational problems

    Dokl. Akad. Nauk SSSR, 138:1 (1961),  29–32
  57. Quasi-linear elliptic equations and variational problems with many independent variables

    Uspekhi Mat. Nauk, 16:1(97) (1961),  19–90
  58. A variational problem for quasilinear elliptic equations with many independent variables

    Dokl. Akad. Nauk SSSR, 135:6 (1960),  1330–1333
  59. Regularity of solutions of multidimensional elliptic equations and variational problems

    Dokl. Akad. Nauk SSSR, 130:6 (1960),  1206–1209

  60. On the 90th birthday of Vsevolod Alekseevich Solonnikov

    Uspekhi Mat. Nauk, 78:5(473) (2023),  187–198
  61. Viktor Abramovich Zalgaller (obituary)

    Uspekhi Mat. Nauk, 76:5(461) (2021),  195–198
  62. Vasilii Mikhailovich Babich (on his ninetieth birthday)

    Uspekhi Mat. Nauk, 76:1(457) (2021),  201–202
  63. Mikhail Zakharovich Solomyak (obituary)

    Uspekhi Mat. Nauk, 72:5(437) (2017),  181–186
  64. Vladimir Savel'evich Buslaev (obituary)

    Uspekhi Mat. Nauk, 69:1(415) (2014),  163–168
  65. Mikhail Shlemovich Birman (obituary)

    Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190
  66. To Solonnikov's jubilee

    Zap. Nauchn. Sem. POMI, 362 (2008),  5–14
  67. Olga Aleksandrovna Ladyzhenskaya (obituary)

    Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152
  68. Ol'ga Aleksandrovna Ladyzhenskaya (on her 80th birthday)

    Uspekhi Mat. Nauk, 58:2(350) (2003),  181–206
  69. To Vsevolod Alekseevich Solonnikov on the occasion of his jubilee

    Zap. Nauchn. Sem. POMI, 306 (2003),  7–15
  70. To the jubillee of O. A. Ladyzhenskaya

    Zap. Nauchn. Sem. POMI, 288 (2002),  5–13
  71. Ol'ga Aleksandrovna Ladyzhenskaya (on her sixtieth birthday)

    Uspekhi Mat. Nauk, 38:5(233) (1983),  215–223

© Steklov Math. Inst. of RAS, 2025