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Pogorelov Aleksei Vasil'evich

Publications in Math-Net.Ru

  1. On the stability of minimal surfaces in Lobachevskiĭ space

    Dokl. Akad. Nauk, 354:6 (1997),  742–744
  2. Investigation of the plane in absolute geometry

    Dokl. Akad. Nauk, 348:4 (1996),  449–451
  3. On bending of a convex surface to a convex surface with prescribed spherical image

    Mat. Zametki, 58:2 (1995),  295–300
  4. The loss of stability of general cylindrical shells under axial compression

    Dokl. Akad. Nauk, 337:3 (1994),  330–331
  5. Imbedding a “soap bubble” into a tetrahedron

    Mat. Zametki, 56:2 (1994),  90–93
  6. On the lower limit of a critical load under axial compression of a cylindrical shell

    Dokl. Akad. Nauk, 324:3 (1992),  550–552
  7. Loss of stability of cylindrical shells under nonuniform axial compression

    Dokl. Akad. Nauk SSSR, 318:6 (1991),  1325–1327
  8. On a theorem of Beltrami

    Dokl. Akad. Nauk SSSR, 316:2 (1991),  297–299
  9. Solution of a problem of H. Busemann

    Dokl. Akad. Nauk SSSR, 314:4 (1990),  790–792
  10. Regular $G$-spaces of H. Busemann

    Dokl. Akad. Nauk SSSR, 314:1 (1990),  114–118
  11. H. Busemann's $G$-spaces with a Riemannian metric

    Dokl. Akad. Nauk SSSR, 313:5 (1990),  1044–1046
  12. Loss of stability of conical shells under twisting

    Dokl. Akad. Nauk SSSR, 311:4 (1990),  815–817
  13. Loss of stability of conical shells under external pressure

    Dokl. Akad. Nauk SSSR, 308:6 (1989),  1322–1326
  14. Loss of stability of developable shells

    Dokl. Akad. Nauk SSSR, 304:5 (1989),  1056–1059
  15. Special infinitesimal bendings of conical surfaces

    Dokl. Akad. Nauk SSSR, 303:3 (1988),  563–566
  16. Complete affine-minimal hypersurfaces

    Dokl. Akad. Nauk SSSR, 301:6 (1988),  1314–1316
  17. Closed convex projectively minimal hypersurfaces

    Dokl. Akad. Nauk SSSR, 298:3 (1988),  551
  18. Unique determination of affine-minimal hypersurfaces

    Dokl. Akad. Nauk SSSR, 297:6 (1987),  1315–1316
  19. Closed convex hypersurfaces with given conditional curvature

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 9 (1987),  142–149
  20. Regularity of generalized solutions of the equation $\det(u_{ij})\theta(\nabla u,u,x)=\varphi(x)$

    Dokl. Akad. Nauk SSSR, 275:1 (1984),  26–28
  21. Existence of a closed convex hypersurface with prescribed curvature

    Dokl. Akad. Nauk SSSR, 274:1 (1984),  28–31
  22. Special infinitesimal bendings of convex surfaces

    Trudy Mat. Inst. Steklov., 166 (1984),  210–212
  23. A priori estimates for solutions of the equation $\det(z_{ij})=\varphi(z_1,z_2,\dots,z_n,z,x_1,x_2,\dots,x_n)$

    Dokl. Akad. Nauk SSSR, 272:4 (1983),  792–794
  24. The maximum principle for generalized solutions of the equation $\theta(\nabla z,\,z,\,x)\det(z_{ij})=\varphi (x)$

    Dokl. Akad. Nauk SSSR, 271:5 (1983),  1064–1066
  25. The Dirichlet problem for generalized solutions of a multidimensional Monge-Ampère equation of elliptic type

    Dokl. Akad. Nauk SSSR, 270:2 (1983),  285–288
  26. On the stability of minimal surfaces

    Dokl. Akad. Nauk SSSR, 260:2 (1981),  293–295
  27. An analog of Minkowski's problem for infinite complete convex hypersurfaces

    Dokl. Akad. Nauk SSSR, 250:3 (1980),  553–556
  28. Buckling of cylindrical shells

    Dokl. Akad. Nauk SSSR, 245:2 (1979),  330–332
  29. Buckling elastic strain energy of developing shells

    Dokl. Akad. Nauk SSSR, 242:3 (1978),  556–558
  30. Regularity of convex hypersurfaces with a regular metric

    Dokl. Akad. Nauk SSSR, 224:1 (1975),  39–42
  31. A bound for the principal radii of curvature of a closed convex hypersurface

    Dokl. Akad. Nauk SSSR, 216:2 (1974),  264–266
  32. A complete solution of Hilbert’s fourth problem

    Dokl. Akad. Nauk SSSR, 208:1 (1973),  48–51
  33. On minimal hypersurfaces in spherical space

    Dokl. Akad. Nauk SSSR, 206:2 (1972),  291–292
  34. Ideal convex affine hyperspheres

    Dokl. Akad. Nauk SSSR, 202:5 (1972),  1008–1011
  35. The Dirichlet problem for the $n$-dimensional analogue of the Monge-Ampère equation

    Dokl. Akad. Nauk SSSR, 201:4 (1971),  790–793
  36. Investigation of spherical shell buckling under external pressure

    Dokl. Akad. Nauk SSSR, 200:4 (1971),  805–808
  37. On the regularity of generalized solutions of the equation $\det(\partial^2u/\partial x^i\partial x^j)=\varphi(x^1,x^2,\dots,x^n)>0$

    Dokl. Akad. Nauk SSSR, 200:3 (1971),  534–537
  38. On a regular solution of the $n$-dimensional Minkowski problem

    Dokl. Akad. Nauk SSSR, 199:4 (1971),  785–788
  39. An example of a twodimensional Riemannian metric admitting no local realization in $\mathrm{E}_3$

    Dokl. Akad. Nauk SSSR, 198:1 (1971),  42–43
  40. On the mean curvature of an infinite complete convex surface

    Dokl. Akad. Nauk SSSR, 197:4 (1971),  788–789
  41. Existence of a closed convex hypersurface with a prescribed function of the principal radii of curvature

    Dokl. Akad. Nauk SSSR, 197:3 (1971),  526–528
  42. Buckling of spherical segment under concentrated load applied from inside

    Dokl. Akad. Nauk SSSR, 197:2 (1971),  307–308
  43. A study of the stresses arising in the bulging of a spherical shell

    Dokl. Akad. Nauk SSSR, 191:2 (1970),  305–306
  44. Homeomorphism of convex surfaces preserving the turning variations of curves

    Dokl. Akad. Nauk SSSR, 191:1 (1970),  25–26
  45. A priori estimate of the principal radii of curvature of a closed convex hypersurface as a function of their mean values

    Dokl. Akad. Nauk SSSR, 186:3 (1969),  516–518
  46. Transcritical elastis states of a closed spherical shell

    Dokl. Akad. Nauk SSSR, 183:6 (1968),  1276–1277
  47. Transcritical elastic states of strictly convex shells in the temperature field

    Dokl. Akad. Nauk SSSR, 183:5 (1968),  1036–1038
  48. An a priori estimate of the principal radii of curvature of a closed convex hypersurface, depending on its Gaussian curvature

    Dokl. Akad. Nauk SSSR, 181:4 (1968),  802–804
  49. A certain variational problem in parametric form

    Dokl. Akad. Nauk SSSR, 180:5 (1968),  1037–1038
  50. Loss of stability as influenced by imperfect fastening of the shell edge

    Dokl. Akad. Nauk SSSR, 179:2 (1968),  308–309
  51. Existence of a convex hypersurface with a given relation among curvature functions

    Dokl. Akad. Nauk SSSR, 174:4 (1967),  749–750
  52. A general existence theorem for closed convex polyhedra

    Dokl. Akad. Nauk SSSR, 174:3 (1967),  526–528
  53. Existence of a convex surface with a prescribed function of the principal radii of curvature

    Dokl. Akad. Nauk SSSR, 174:2 (1967),  291–293
  54. A priori estimates for radii of curvature of a convex surface

    Dokl. Akad. Nauk SSSR, 173:6 (1967),  1267–1269
  55. A regular partition of Lobachevskian space

    Mat. Zametki, 1:1 (1967),  3–8
  56. Transcritical deformation energy of a thin elastic shell

    Dokl. Akad. Nauk SSSR, 171:2 (1966),  310–312
  57. General critical stressed state of a strictly convex shell

    Dokl. Akad. Nauk SSSR, 171:1 (1966),  59–60
  58. Loss of stability by a strictly convex shell under concentrated load

    Dokl. Akad. Nauk SSSR, 170:6 (1966),  1283–1284
  59. Critical external pressure on an ellipsoidal bottom of a cylindrical reservoir

    Dokl. Akad. Nauk SSSR, 164:3 (1965),  523–524
  60. Loss of stability of shells of rotation under torsion

    Dokl. Akad. Nauk SSSR, 160:6 (1965),  1283–1284
  61. Stability loss by rotational shells under internal pressure

    Dokl. Akad. Nauk SSSR, 159:6 (1964),  1247–1248
  62. External critical pressure on a convex gently curved shell

    Dokl. Akad. Nauk SSSR, 159:5 (1964),  1011–1012
  63. Loss of stability by a convex shell under pressure exerted by a tight thread

    Dokl. Akad. Nauk SSSR, 156:5 (1964),  1064
  64. Loss of stability by a rotational shell under external pressure uniformly distributed along the parallel

    Dokl. Akad. Nauk SSSR, 151:6 (1963),  1303–1305
  65. Stability of axially symmetric deformations of spherical shells under axially symmetric load

    Dokl. Akad. Nauk SSSR, 151:5 (1963),  1053–1055
  66. Lower critical load for cylindrical shells

    Dokl. Akad. Nauk SSSR, 149:5 (1963),  1047–1048
  67. Transcritical deformations of bondedly elastic shells

    Dokl. Akad. Nauk SSSR, 149:4 (1963),  806–807
  68. Transcritical deformations of cylinder shells in torsion

    Dokl. Akad. Nauk SSSR, 142:2 (1962),  302–303
  69. On the regularity of a convex surface with a regular metric in Euclidean space

    Dokl. Akad. Nauk SSSR, 139:5 (1961),  1056–1058
  70. On the isometric immersion of a two-dimensional Riemannian manifold homeomorphic to a sphere into a three-dimensional Riemannian space

    Dokl. Akad. Nauk SSSR, 139:4 (1961),  818–820
  71. Transcritical deformations of cylindrical shells under external pressure

    Dokl. Akad. Nauk SSSR, 138:6 (1961),  1325–1327
  72. The rigidity of closed surfaces non-homeomorphic to a sphere in Riemannian space

    Dokl. Akad. Nauk SSSR, 138:1 (1961),  51–52
  73. Isometric transformations of punctured convex surfaces

    Dokl. Akad. Nauk SSSR, 137:6 (1961),  1307–1308
  74. Isometric immersion in the large of a two-dimensional Riemannian manifold into a three-dimensional one

    Dokl. Akad. Nauk SSSR, 137:2 (1961),  282–283
  75. Regular convex surfaces with a regular metric in Lobachevsky space

    Dokl. Akad. Nauk SSSR, 137:1 (1961),  35–38
  76. Transcritical deformations of compressed cylindrical shells

    Dokl. Akad. Nauk SSSR, 134:1 (1960),  62–63
  77. Elastic deformations of convex shells in the transcritical region

    Dokl. Akad. Nauk SSSR, 133:4 (1960),  785–787
  78. On Monge–Ampère strongly elliptic equations

    Dokl. Akad. Nauk SSSR, 132:3 (1960),  535–536
  79. On the regularity of convex surfaces with a regular metric in spaces of constant curvature

    Dokl. Akad. Nauk SSSR, 122:2 (1958),  186–187
  80. On the transformation of isometric surfaces

    Dokl. Akad. Nauk SSSR, 122:1 (1958),  20–21
  81. A new proof of rigidity of convex polyhedra

    Uspekhi Mat. Nauk, 11:5(71) (1956),  207–208
  82. A general characteristic property of the sphere

    Uspekhi Mat. Nauk, 11:5(71) (1956),  203–206
  83. On stability under bending of isolated edge points on a convex surface

    Uspekhi Mat. Nauk, 8:3(55) (1953),  131–134
  84. On existence of a convex surface with a given sum of the principal radii of curvature

    Uspekhi Mat. Nauk, 8:3(55) (1953),  127–130
  85. Regularity of a convex surface with given Gaussian curvature

    Mat. Sb. (N.S.), 31(73):1 (1952),  88–103
  86. Uniqueness of convex surfaces of revolution

    Mat. Sb. (N.S.), 26(68):2 (1950),  183–204
  87. A theorem of uniqueness for convex surfaces

    Mat. Sb. (N.S.), 26(68):1 (1950),  147–152
  88. On the proof of Weyl's theorem on the existence of a closed analytic convex surface realizing an analytic metric with positive curvature given on the sphere

    Uspekhi Mat. Nauk, 4:4(32) (1949),  183–186
  89. A priori estimates for the derivatives of a regular solution of a partial differential equation of elliptic type

    Uspekhi Mat. Nauk, 4:4(32) (1949),  179–182
  90. Quasi-geodesic lines on a convex surface

    Mat. Sb. (N.S.), 25(67):2 (1949),  275–306
  91. The rigidity of convex surfaces

    Trudy Mat. Inst. Steklov., 29 (1949),  3–99
  92. The uniqueness of closed tubes

    Uspekhi Mat. Nauk, 3:3(25) (1948),  170–182
  93. A theorem regarding geodesics on closed convex surfaces

    Rec. Math. [Mat. Sbornik] N.S., 18(60):1 (1946),  181–183

  94. Vladimir Aleksandrovich Marchenko (on his 80th birthday)

    Uspekhi Mat. Nauk, 58:4(352) (2003),  169–172
  95. On the 90th anniversary of the birth of A. D. Aleksandrov (1912–1999)

    Uspekhi Mat. Nauk, 57:5(347) (2002),  169–181
  96. Aleksandr Danilovich Aleksandrov (1912–1999)

    Sibirsk. Mat. Zh., 43:4 (2002),  735–738
  97. Aleksandr Danilovich Aleksandrov (1912–1999)

    Vladikavkaz. Mat. Zh., 4:3 (2002),  5–8
  98. Viktor Abramovich Zalgaller. To the 80th anniversary

    Zap. Nauchn. Sem. POMI, 280 (2001),  7–13
  99. Aleksandr Danilovich Aleksandrov (obituary)

    Uspekhi Mat. Nauk, 54:5(329) (1999),  143–146
  100. Leonid Andreevich Pastur (on his 60th birthday)

    Uspekhi Mat. Nauk, 53:2(320) (1998),  181–182
  101. Vladimir Aleksandrovich Marchenko (on his 75th birthday)

    Uspekhi Mat. Nauk, 53:2(320) (1998),  177–180
  102. Evgenii Yakovlevich Khruslov (on his 60th birthday)

    Uspekhi Mat. Nauk, 52:6(318) (1997),  205–206
  103. Mikhail Iosifovich Kadets (on his seventieth birthday)

    Uspekhi Mat. Nauk, 49:3(297) (1994),  205–206
  104. Boris Yakovlevich Levin (obituary)

    Uspekhi Mat. Nauk, 49:1(295) (1994),  201–202
  105. Aleksandr Danilovich Aleksandrov (on his eightieth birthday)

    Uspekhi Mat. Nauk, 48:4(292) (1993),  239–241
  106. Academician Lev Semenovich Pontryagin (obituary)

    Uspekhi Mat. Nauk, 44:1(265) (1989),  3–4
  107. Aleksandr Danilovich Aleksandrov (on his seventy-fifth birthday)

    Uspekhi Mat. Nauk, 43:2(260) (1988),  161–167
  108. Mikhail Iosifovich Kadets (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 39:6(240) (1984),  249–250
  109. Nikolai Vladimirovich Efimov (obituary)

    Uspekhi Mat. Nauk, 38:5(233) (1983),  111–117
  110. Vladimir Aleksandrovich Marchenko (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 37:6(228) (1982),  255–260
  111. Naum Il'ich Akhiezer (obituary)

    Uspekhi Mat. Nauk, 36:4(220) (1981),  183–184
  112. Nikolai Vladimirovich Efimov (on his seventieth birthday)

    Uspekhi Mat. Nauk, 36:3(219) (1981),  233–238
  113. Aleksandr Danilovich Aleksandrov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 28:2(170) (1973),  249–253
  114. Nikolai Vladimirovich Efimov (on the occasion of his sixtieth birthday)

    Uspekhi Mat. Nauk, 26:1(157) (1971),  237–242
  115. Second All-Union Conference on Geometry

    Uspekhi Mat. Nauk, 20:4(124) (1965),  216–220
  116. Aleksandr Danilovich Aleksandrov (on his fiftieth birthday)

    Uspekhi Mat. Nauk, 17:6(108) (1962),  171–184
  117. Nikolay Vladimirovich Efimov (on the occasion of his fiftieth birthday)

    Uspekhi Mat. Nauk, 15:6(96) (1960),  175–180

© Steklov Math. Inst. of RAS, 2026