Edit Profile (opens in new tab) Pogorelov, Alekseĭ Vasil’evich Compute Distance To: Compute Author ID: pogorelov.aleksei-vasilevich Published as: Pogorelov, A. V.; Pogorelow, A. W.; Pogorelov, A.; Pogorelov, Aleksey Vasil’yevich more...less Further Spellings: Погорелов Алексей Васильевич; Погорєлов Олексій Васильович External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 166 Publications since 1946, including 34 Books 1 Further Contribution Biographic References: 15 Publications Co-Authors: 45 Co-Authors with 28 Joint Publications 2,486 Co-Co-Authors all top 5 Co-Authors 137 single-authored 9 Aleksandrov, Aleksandr Danilovich 7 Zalgaller, Viktor Abramovich 6 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 6 Novikov, Sergeĭ Petrovich 6 Poznyak, Èduard Genrikhovich 5 Ladyzhenskaya, Ol’ga Aleksandrovna 5 Marchenko, Vladimir Aleksandrovich 5 Ostrovskiĭ, Iosif Vladimirovich 5 Reshetnyak, Yuriĭ Grigor’evich 4 Aleksandrov, Pavel Sergeevich 4 Borisov, Yuriĭ Fedorovich 4 Kutateladze, Semën Samsonovich 4 Levin, Boris Yakovlevich 4 Rozendorn, Èmil’ Renol’dovich 4 Sabitov, Idzhad Khakovich 3 Berezans’kyĭ, Yuriĭ Makarovych 3 Bogolyubov, Nikolaĭ Nikolaevich 3 Efimov, Nikolaĭ Vladimirovich 3 Khruslov, Eugene Yakovlevich 2 Aminov, Yurii Akhmetovich 2 Kolmogorov, Andreĭ Nikolaevich 2 Kreĭn, Mark Grigor’evich 2 Levitan, Boris Moiseevich 2 Lyubich, Yuriĭ Il’ich 2 Oleĭnik, Ol’ga Arsen’evna 2 Povzner, Aleksandr Yakovlevich 2 Rashevskiĭ, Pëtr Konstantinovich 2 Stechkin, Sergeĭ Borisovich 2 Zakharov, Vladimir Evgen’evich 1 Andrunakiewicz, V. A. 1 Babenko, Vladimir Ivanovich 1 Blank, Yakov Pavlovich 1 Bogolyubov, Alekseĭ Nikolaevich 1 Buĭmola, G. L. 1 Burago, Yuriĭ Dmitrievich 1 Chalyĭ, A. T. 1 Charin, V. S. 1 Chernavskiĭ, Alekseĭ Viktorovich 1 Erugin, Nikolaĭ Pavlovich 1 Faddeev, Dmitriĭ Konstantinovich 1 Gel’fond, Aleksandr Osipovich 1 Glushkov, Viktor Mikhaĭlovich 1 Gluskin, L. N. 1 Gnedenko, Boris Vladimirovich 1 Gordevskiĭ, D. Z. 1 Gurarii, V. P. 1 Ibragimov, Il’dar Abdullovich 1 Kaluzhnin, Lev Arkadevich 1 Kovan’ko, Aleksandr Sergeevich 1 Kudryavtsev, Lev Dmitrievich 1 Kurosh, Aleksandr Gennad’evich 1 Leonov, Gennadiĭ Alekseevich 1 Lifshits, Il’ya Mikhaĭlovich 1 Linnik, Yuriĭ Vladimirovich 1 Malyshev, Aleksandr Vasil’evich 1 Maslov, Klavdii V. 1 Maslov, Viktor Pavlovich 1 Muskhelishvili, Nikoloz 1 Netsvetaev, Nikita Yu. 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Paplauskas, Algirdas B. 1 Parasyuk, Ostap Stepanovich 1 Pastur, Leonid Andreevich 1 Pogrebys’kyĭ, Ĭosip Benedyktovych 1 Prokhorov, Yuriĭ Vasil’evich 1 Remez, Evgeniĭ Yakovlevich 1 Rofe-Beketov, Fedor Semenovich 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Shtokalo, Ĭosyp Zakharovych 1 Silver, Ben 1 Sinaĭ, Yakov Grigor’evich 1 Sklyarenko, E. G. 1 Skrypnik, Igor Vladimirovich 1 Smirnov, Vladimir Ivanovich 1 Sokolov, Yuriĭ Dmitrievich 1 Sologub, V. S. 1 Ul’yanov, Pëtr Lavrent’evich 1 Venkov, Boris B. 1 Vershik, Anatoliĭ Moiseevich 1 Yushkevich, Adol’f Pavlovich all top 5 Serials 42 Soviet Mathematics. Doklady 14 Uspekhi Matematicheskikh Nauk [N. S.] 12 Russian Mathematical Surveys 12 Doklady Akademii Nauk SSSR. Novaya Seriya 7 Doklady Akademii Nauk SSSR 7 Doklady Mathematics 6 Soviet Physics. Doklady 5 Matematicheskiĭ Sbornik. Novaya Seriya 3 Mathematical Notes 3 Reviews in Mathematics and Mathematical Physics 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 2 Translations of Mathematical Monographs 1 Journal d’Analyse Mathématique 1 Matematicheskie Zametki 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 1 Advances in Mathematics 1 Geometriae Dedicata 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Physics-Doklady 1 International Applied Mechanics 1 Journal of Mathematical Sciences (New York) 1 Matematicheskie Struktury i Modelirovanie 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Proceedings of the Steklov Institute of Mathematics all top 5 Fields 50 Differential geometry (53-XX) 27 History and biography (01-XX) 14 Mechanics of deformable solids (74-XX) 13 Partial differential equations (35-XX) 10 Convex and discrete geometry (52-XX) 4 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 714 times in 539 Documents Cited by ▼ Year ▼ Extrinsic geometry of convex surfaces. Translated from the Russian by Israel Program for Scientific Translations. Zbl 0311.53067Pogorelov, A. V. 137 1973 The Minkowski multidimensional problem. Translated by Vladimir Oliker and introduced by Louis Nirenberg. Zbl 0387.53023Pogorelov, Aleksey Vasil’yevich 84 1978 On the improper convex affine hyperspheres. Zbl 0251.53005Pogorelov, A. V. 82 1972 A theorem of uniqueness for infinite convex surfaces. Zbl 0192.59403Pogorelov, A. V. 33 1969 Monge-Ampère equations of elliptic type. Translated from the first Russian edition by Leo F. Boron with the assistance of Albert L. Rabenstein and Richard C. Bollinger. Zbl 0133.04902Pogorelov, A. V. 33 1964 The Dirichlet problem for the \(n\)-dimensional analogue of the Monge-Ampère equation. Zbl 0238.35071Pogorelov, A. V. 21 1971 The existence of a convex surface with a given function of the principal radii of curvature. Zbl 0161.40903Pogorelov, A. V. 19 1967 On the regularity of generalized solutions of the equation \(\det(\partial^ 2u/\partial x^ i\partial x^ j)=\varphi (x^ 1,x^ 2,\dots,x^ n)>0\). Zbl 0246.35014Pogorelov, A. V. 18 1971 On the stability of minimal surfaces. Zbl 0495.53005Pogorelov, A. V. 16 1981 Differential geometry. Zbl 0084.17702Pogorelov, A. V. 16 1959 On a regular solution of the \(n\)-dimensional Minkowski problem. Zbl 0236.53057Pogorelov, A. V. 13 1971 Lectures on the foundations of geometry. Zbl 0141.36702Pogorelov, A. V. 13 1966 Some results on surface theory in the large. Zbl 0129.35702Pogorelov, A. V. 13 1964 Bendings of surfaces and stability of shells. Transl. from the Russian by J. R. Schulenberger. Transl. ed. by Ben Silver. Zbl 0656.73026Pogorelov, A. V. 12 1988 Special infinitesimal deformations of convex surfaces. Zbl 0554.73010Pogorelov, A. V. 12 1984 Bending of surfaces and stability of shells. (Izgibaniya poverkhnostej i ustojchivost’ obolochek). Zbl 0616.73051Pogorelov, A. V. 12 1986 A complete solution of Hilbert’s fourth problem. Zbl 0285.52007Pogorelov, A. V. 11 1973 A regular partition of Lobachevskian space. Zbl 0157.27203Pogorelov, A. V. 10 1967 An extension of Gauss theorem in the spherical representation to surfaces of bounded external curvature. Zbl 0072.39901Pogorelov, A. V. 10 1956 Loss of stability of general cylindrical shells under axial compression. Zbl 0842.73032Pogorelov, A. V. 9 1994 Loss of stability of developable shells. Zbl 0671.73044Pogorelov, A. V. 9 1989 Buckling elastic strain energy of developing shells. Zbl 0412.73042Pogorelov, A. V. 9 1978 Geometrical methods in the non-linear theory of shells. Zbl 0185.52902Pogorelov, A. V. 9 1969 Loss of stability of a conical shell under external pressure. Zbl 0729.73541Pogorelov, A. V. 9 1989 Die eindeutige Bestimmung allgemeiner konvexer Flächen. Zbl 0072.17501Pogorelow, A. W. 8 1956 Regularity of convex hypersurfaces with a regular metric. Zbl 0324.53045Pogorelov, A. V. 6 1975 Geometrische Methoden in der nichtlinearen Theorie der elastischen Schalen. Zbl 0168.45203Pogorelov, A. V. 6 1967 Special infinitesimal bendings of convex surfaces. Zbl 0584.73020Pogorelov, A. V. 5 1986 A theorem regarding geodesics on closed convex surfaces. Zbl 0061.37612Pogorelov, A. 5 1946 Improper convex affine hyperspheres. Zbl 0251.53004Pogorelov, A. V. 5 1972 An apriori estimate for the principal radii of curvature of a closed convex hypersurface in terms of its Gaussian curvature. Zbl 0177.49402Pogorelov, A. V. 5 1968 Regularität einer konvexen Fläche mit gegebener Gaußscher Krümmung. Zbl 0048.40501Pogorelov, A. V. 4 1952 Nearly spherical surfaces. Zbl 0153.50704Pogorelov, A. V. 4 1967 Imbedding a “soap bubble” into a tetrahedron. Zbl 0842.52001Pogorelov, A. V. 3 1994 Differential geometry. Translated from the first Russian edition by Leo F. Boron. 2nd ed. Zbl 0172.46401Pogorelov, A. V. 3 1967 Erweiterung des allgemeinen Eindeutigkeitssatzes von A. D. Aleksandrov auf den Fall nicht-analytischer Flächen. Zbl 0030.41402Pogorelov, A. V. 3 1948 The multidimensional Monge-Ampère equation \(\det\,{\|{}z_{ij}\|}=\phi(z_1,\dots,z_n,z,x_1,\dots,x_n)\). (Многомерное уравнение Монжа-Ампера \(\det\,\| z_ {ij}\| =\phi(z_ 1,\cdots,z_ n,z,x_ 1,\cdots,x_ n)\).) Zbl 1124.35300Pogorelov, A. V. 2 1988 Geometric methods in the theory of stability of thin shells (review). Zbl 0793.73039Pogorelov, A. V.; Babenko, V. I. 2 1992 Eindeutige Bestimmtheit konvexer Flächen. Zbl 0035.10803Pogorelov, A. V. 2 1948 Äußere Geometrie der konvexen Flächen. (Vnesnjaja geometrija vypuklyh poverhnostei.). Zbl 0245.53055Pogorelov, A. V. 2 1969 On minimal hypersurfaces in spherical space. Zbl 0262.53040Pogorelov, A. V. 2 1972 Existence of a closed convex hypersurface with a prescribed function of the principal radii of curvature. Zbl 0224.53001Pogorelov, A. V. 2 1971 An example of a twodimensional Riemannian metric admitting no local realization in \(E_ 3\). Zbl 0232.53013Pogorelov, A. V. 2 1971 Solution of one problem of A. D. Aleksandrov’s problems. Zbl 0980.53088Pogorelov, A. V. 2 1998 Uniqueness theorems for closed convex surfaces. Zbl 0976.53072Pogorelov, A. V. 2 1999 The rigidity of general convex surfaces. Zbl 0118.17202Pogorelov, A. V. 2 1959 On a theorem of Beltrami. Zbl 0749.53009Pogorelov, A. V. 1 1991 The many-dimensional Monge-Ampère equation \(\det \| z_{ij}\| =\phi (z_ 1,\dots ,z_ n,z,x_ 1,\dots ,x_ n)\). (Mnogomernoe uravnenie Monzha-Ampera \(\det \| z_{ij}\| =\phi (z_ 1,\dots ,z_ n,z,x_ 1,\dots ,x_ n)\)). Zbl 0643.35004Pogorelov, A. V. 1 1988 Regularity of generalized solutions of the equation \(\det (u_{ij})\theta (\nabla u,u,x)=\phi (x)\). Zbl 0595.35047Pogorelov, A. V. 1 1984 Geometry. Textbook. (Geometriya. Uchebnoe posobie). 2nd ed. Zbl 0606.53003Pogorelov, A. V. 1 1984 Complete affine-minimal hypersurfaces. Zbl 0669.53009Pogorelov, A. V. 1 1989 Special infinitesimal bendings of conical surfaces. Zbl 0671.73043Pogorelov, A. V. 1 1988 Über die Regularität konvexer Flächen mit regulärer Metrik. Zbl 0033.21401Pogorelov, A. V. 1 1949 Über konvexe Flächen mit regulärer Metrik. Zbl 0033.21402Pogorelov, A. V. 1 1949 Quasi-geodätische Linien auf einer konvexen Fläche. Zbl 0041.08902Pogorelov, A. V. 1 1949 Die eindeutige Bestimmtheit der konvexen Flächen. Zbl 0041.50805Pogorelov, A. V. 1 1949 Das vierte Hilbertsche Problem. (Cetvertaja problema Gil’berta.). Zbl 0291.52008Pogorelov, A. V. 1 1974 Busemann regular \(G\)-spaces. Zbl 0996.53001Pogorelov, A. V. 1 1998 On a problem of Stocker. (On one problem of Stoker.) Zbl 1229.52010Pogorelov, A. V. 1 2002 Generalized solutions of Monge-Ampère equations of elliptic type. Zbl 0900.35119Pogorelov, A. V. 1 1994 Monge-Ampère multidimensional equation \(\text{det}\| z_{ij}\|= \varphi(z_1,\dots, z_n,z,x_1,\dots,x_n)\). Zbl 0904.35002Pogorelov, A. V. 1 1995 Geometry. Textbook. (Geometriya. Uchebnoe posobie). Zbl 0521.53001Pogorelov, A. V. 1 1983 Nikolaĭ Vladimirovich Efimov (obituary). Zbl 0539.01014Aleksandrov, A. D.; Novikov, S. P.; Pogorelov, A. V.; Poznyak, È. G.; Rashevskiĭ, P. K.; Rozendorn, È. R.; Sabitov, I. Kh.; Stechkin, S. B. 1 1983 An analog of Minkowski’s problem for infinite complete convex hypersurfaces. Zbl 0448.53042Pogorelov, A. V. 1 1980 The existence of a convex hypersurface with a given relation for its curvature functions. Zbl 0161.41001Pogorelov, A. V. 1 1967 An a priori estimate for the principal radii of curvature of a closed convex hypersurface in terms of their mean values. Zbl 0193.21702Pogorelov, A. V. 1 1969 On the mean curvature of an infinite complete convex surface. Zbl 0224.53002Pogorelov, A. V. 1 1971 On the stability of minimal surfaces in the Lobachevskij space. Zbl 0980.53014Pogorelov, A. V. 1 1997 Continuous mappings of bounded variation. Zbl 0072.39803Pogorelov, A. V. 1 1956 Eine allgemeine charakteristische Eigenschaft der Kugel. Zbl 0071.37402Pogorelov, A. V. 1 1956 Die Verbiegung konvexer Flächen. Zbl 0077.38006Pogorelov, A. V. 1 1957 Einige Untersuchungen zur Riemannschen Geometrie im Großen. Zbl 0090.12503Pogorelow, A. W. 1 1960 On the regularity of convex surfaces with a regular metric in spaces of constant curvature. Zbl 0088.14203Pogorelov, A. V. 1 1958 On a problem of Stocker. (On one problem of Stoker.) Zbl 1229.52010Pogorelov, A. V. 1 2002 Uniqueness theorems for closed convex surfaces. Zbl 0976.53072Pogorelov, A. V. 2 1999 Solution of one problem of A. D. Aleksandrov’s problems. Zbl 0980.53088Pogorelov, A. V. 2 1998 Busemann regular \(G\)-spaces. Zbl 0996.53001Pogorelov, A. V. 1 1998 On the stability of minimal surfaces in the Lobachevskij space. Zbl 0980.53014Pogorelov, A. V. 1 1997 Monge-Ampère multidimensional equation \(\text{det}\| z_{ij}\|= \varphi(z_1,\dots, z_n,z,x_1,\dots,x_n)\). Zbl 0904.35002Pogorelov, A. V. 1 1995 Loss of stability of general cylindrical shells under axial compression. Zbl 0842.73032Pogorelov, A. V. 9 1994 Imbedding a “soap bubble” into a tetrahedron. Zbl 0842.52001Pogorelov, A. V. 3 1994 Generalized solutions of Monge-Ampère equations of elliptic type. Zbl 0900.35119Pogorelov, A. V. 1 1994 Geometric methods in the theory of stability of thin shells (review). Zbl 0793.73039Pogorelov, A. V.; Babenko, V. I. 2 1992 On a theorem of Beltrami. Zbl 0749.53009Pogorelov, A. V. 1 1991 Loss of stability of developable shells. Zbl 0671.73044Pogorelov, A. V. 9 1989 Loss of stability of a conical shell under external pressure. Zbl 0729.73541Pogorelov, A. V. 9 1989 Complete affine-minimal hypersurfaces. Zbl 0669.53009Pogorelov, A. V. 1 1989 Bendings of surfaces and stability of shells. Transl. from the Russian by J. R. Schulenberger. Transl. ed. by Ben Silver. Zbl 0656.73026Pogorelov, A. V. 12 1988 The multidimensional Monge-Ampère equation \(\det\,{\|{}z_{ij}\|}=\phi(z_1,\dots,z_n,z,x_1,\dots,x_n)\). (Многомерное уравнение Монжа-Ампера \(\det\,\| z_ {ij}\| =\phi(z_ 1,\cdots,z_ n,z,x_ 1,\cdots,x_ n)\).) Zbl 1124.35300Pogorelov, A. V. 2 1988 The many-dimensional Monge-Ampère equation \(\det \| z_{ij}\| =\phi (z_ 1,\dots ,z_ n,z,x_ 1,\dots ,x_ n)\). (Mnogomernoe uravnenie Monzha-Ampera \(\det \| z_{ij}\| =\phi (z_ 1,\dots ,z_ n,z,x_ 1,\dots ,x_ n)\)). Zbl 0643.35004Pogorelov, A. V. 1 1988 Special infinitesimal bendings of conical surfaces. Zbl 0671.73043Pogorelov, A. V. 1 1988 Bending of surfaces and stability of shells. (Izgibaniya poverkhnostej i ustojchivost’ obolochek). Zbl 0616.73051Pogorelov, A. V. 12 1986 Special infinitesimal bendings of convex surfaces. Zbl 0584.73020Pogorelov, A. V. 5 1986 Special infinitesimal deformations of convex surfaces. Zbl 0554.73010Pogorelov, A. V. 12 1984 Regularity of generalized solutions of the equation \(\det (u_{ij})\theta (\nabla u,u,x)=\phi (x)\). Zbl 0595.35047Pogorelov, A. V. 1 1984 Geometry. Textbook. (Geometriya. Uchebnoe posobie). 2nd ed. Zbl 0606.53003Pogorelov, A. V. 1 1984 Geometry. Textbook. (Geometriya. Uchebnoe posobie). Zbl 0521.53001Pogorelov, A. V. 1 1983 Nikolaĭ Vladimirovich Efimov (obituary). Zbl 0539.01014Aleksandrov, A. D.; Novikov, S. P.; Pogorelov, A. V.; Poznyak, È. G.; Rashevskiĭ, P. K.; Rozendorn, È. R.; Sabitov, I. Kh.; Stechkin, S. B. 1 1983 On the stability of minimal surfaces. Zbl 0495.53005Pogorelov, A. V. 16 1981 An analog of Minkowski’s problem for infinite complete convex hypersurfaces. Zbl 0448.53042Pogorelov, A. V. 1 1980 The Minkowski multidimensional problem. Translated by Vladimir Oliker and introduced by Louis Nirenberg. Zbl 0387.53023Pogorelov, Aleksey Vasil’yevich 84 1978 Buckling elastic strain energy of developing shells. Zbl 0412.73042Pogorelov, A. V. 9 1978 Regularity of convex hypersurfaces with a regular metric. Zbl 0324.53045Pogorelov, A. V. 6 1975 Das vierte Hilbertsche Problem. (Cetvertaja problema Gil’berta.). Zbl 0291.52008Pogorelov, A. V. 1 1974 Extrinsic geometry of convex surfaces. Translated from the Russian by Israel Program for Scientific Translations. Zbl 0311.53067Pogorelov, A. V. 137 1973 A complete solution of Hilbert’s fourth problem. Zbl 0285.52007Pogorelov, A. V. 11 1973 On the improper convex affine hyperspheres. Zbl 0251.53005Pogorelov, A. V. 82 1972 Improper convex affine hyperspheres. Zbl 0251.53004Pogorelov, A. V. 5 1972 On minimal hypersurfaces in spherical space. Zbl 0262.53040Pogorelov, A. V. 2 1972 The Dirichlet problem for the \(n\)-dimensional analogue of the Monge-Ampère equation. Zbl 0238.35071Pogorelov, A. V. 21 1971 On the regularity of generalized solutions of the equation \(\det(\partial^ 2u/\partial x^ i\partial x^ j)=\varphi (x^ 1,x^ 2,\dots,x^ n)>0\). Zbl 0246.35014Pogorelov, A. V. 18 1971 On a regular solution of the \(n\)-dimensional Minkowski problem. Zbl 0236.53057Pogorelov, A. V. 13 1971 Existence of a closed convex hypersurface with a prescribed function of the principal radii of curvature. Zbl 0224.53001Pogorelov, A. V. 2 1971 An example of a twodimensional Riemannian metric admitting no local realization in \(E_ 3\). Zbl 0232.53013Pogorelov, A. V. 2 1971 On the mean curvature of an infinite complete convex surface. Zbl 0224.53002Pogorelov, A. V. 1 1971 A theorem of uniqueness for infinite convex surfaces. Zbl 0192.59403Pogorelov, A. V. 33 1969 Geometrical methods in the non-linear theory of shells. Zbl 0185.52902Pogorelov, A. V. 9 1969 Äußere Geometrie der konvexen Flächen. (Vnesnjaja geometrija vypuklyh poverhnostei.). Zbl 0245.53055Pogorelov, A. V. 2 1969 An a priori estimate for the principal radii of curvature of a closed convex hypersurface in terms of their mean values. Zbl 0193.21702Pogorelov, A. V. 1 1969 An apriori estimate for the principal radii of curvature of a closed convex hypersurface in terms of its Gaussian curvature. Zbl 0177.49402Pogorelov, A. V. 5 1968 The existence of a convex surface with a given function of the principal radii of curvature. Zbl 0161.40903Pogorelov, A. V. 19 1967 A regular partition of Lobachevskian space. Zbl 0157.27203Pogorelov, A. V. 10 1967 Geometrische Methoden in der nichtlinearen Theorie der elastischen Schalen. Zbl 0168.45203Pogorelov, A. V. 6 1967 Nearly spherical surfaces. Zbl 0153.50704Pogorelov, A. V. 4 1967 Differential geometry. Translated from the first Russian edition by Leo F. Boron. 2nd ed. Zbl 0172.46401Pogorelov, A. V. 3 1967 The existence of a convex hypersurface with a given relation for its curvature functions. Zbl 0161.41001Pogorelov, A. V. 1 1967 Lectures on the foundations of geometry. Zbl 0141.36702Pogorelov, A. V. 13 1966 Monge-Ampère equations of elliptic type. Translated from the first Russian edition by Leo F. Boron with the assistance of Albert L. Rabenstein and Richard C. Bollinger. Zbl 0133.04902Pogorelov, A. V. 33 1964 Some results on surface theory in the large. Zbl 0129.35702Pogorelov, A. V. 13 1964 Einige Untersuchungen zur Riemannschen Geometrie im Großen. Zbl 0090.12503Pogorelow, A. W. 1 1960 Differential geometry. Zbl 0084.17702Pogorelov, A. V. 16 1959 The rigidity of general convex surfaces. Zbl 0118.17202Pogorelov, A. V. 2 1959 On the regularity of convex surfaces with a regular metric in spaces of constant curvature. Zbl 0088.14203Pogorelov, A. V. 1 1958 Die Verbiegung konvexer Flächen. Zbl 0077.38006Pogorelov, A. V. 1 1957 An extension of Gauss theorem in the spherical representation to surfaces of bounded external curvature. Zbl 0072.39901Pogorelov, A. V. 10 1956 Die eindeutige Bestimmung allgemeiner konvexer Flächen. Zbl 0072.17501Pogorelow, A. W. 8 1956 Continuous mappings of bounded variation. Zbl 0072.39803Pogorelov, A. V. 1 1956 Eine allgemeine charakteristische Eigenschaft der Kugel. Zbl 0071.37402Pogorelov, A. V. 1 1956 Regularität einer konvexen Fläche mit gegebener Gaußscher Krümmung. Zbl 0048.40501Pogorelov, A. V. 4 1952 Über die Regularität konvexer Flächen mit regulärer Metrik. Zbl 0033.21401Pogorelov, A. V. 1 1949 Über konvexe Flächen mit regulärer Metrik. Zbl 0033.21402Pogorelov, A. V. 1 1949 Quasi-geodätische Linien auf einer konvexen Fläche. Zbl 0041.08902Pogorelov, A. V. 1 1949 Die eindeutige Bestimmtheit der konvexen Flächen. Zbl 0041.50805Pogorelov, A. V. 1 1949 Erweiterung des allgemeinen Eindeutigkeitssatzes von A. D. Aleksandrov auf den Fall nicht-analytischer Flächen. Zbl 0030.41402Pogorelov, A. V. 3 1948 Eindeutige Bestimmtheit konvexer Flächen. Zbl 0035.10803Pogorelov, A. V. 2 1948 A theorem regarding geodesics on closed convex surfaces. Zbl 0061.37612Pogorelov, A. 5 1946 all cited Publications top 5 cited Publications all top 5 Cited by 544 Authors 17 Bao, Jiguang 11 Wang, Xu-Jia 9 Hornung, Peter 8 Sabitov, Idzhad Khakovich 8 Trudinger, Neil Sidney 8 Urbas, John Ivan Eugene 8 Xu, Ruiwei 7 Guan, Pengfei 7 Li, Haigang 7 Schulz, Friedmar 6 Schlenker, Jean-Marc 6 Shefel, S. Z. 6 Wang, Zhizhang 5 Dai, Limei 5 Fillastre, François 5 Gálvez, Jose Antonio 5 Kopylov, Anatoliĭ Pavlovich 5 Milka, Anatoliy D. 5 Warren, Micah W. 4 Alexandrov, Victor A. 4 Caffarelli, Luis Ángel 4 Delanoë, Philippe P. 4 Du, Shi-Zhong 4 Erokhovets, Nikolaĭ Yur’evich 4 Heinz, Erhard 4 Izmestiev, Ivan 4 Kokonendji, Célestin Clotaire 4 Li, YanYan 4 Lions, Pierre-Louis 4 Liu, Jiakun 4 Miao, Pengzi 4 Olbermann, Heiner 4 Pakzad, Mohammad Reza 4 Srubshchik, Leonid S. 4 Stepanov, Vladimir Nikolaevich 4 Tam, Luen-Fai 4 Vîlcu, Costin 3 Aminov, Yurii Akhmetovich 3 Anikonov, Yuriĭ Evgenievich 3 Bedford, Eric 3 Borisenko, Aleksandr Andreevich 3 Dai, Guowei 3 Evkin, Alexander Yu. 3 Ghomi, Mohammad 3 Hong, Jiaxing 3 Huang, Rongli 3 Huang, Yong 3 Ivanova-Karatopraklieva, Ivanka I. 3 Jia, Xiaobiao 3 Karakhanyan, Aram L. 3 Kim, Dongsoo S. 3 Klimentov, Sergeĭ Borisovich 3 Lewicka, Marta 3 Li, Dongsheng 3 Meeks, William Hamilton III 3 Mira, Pablo 3 Oliker, Vladimir I. 3 Pogorelov, Alekseĭ Vasil’evich 3 Ren, Changyu 3 Rubinstein, Yanir A. 3 Sawyer, Eric T. 3 Sheng, Weimin 3 Shi, Yuguang 3 Srubscik, L. S. 3 Takimoto, Kazuhiro 3 Volberg, Alexander Lvovich 3 Wheeden, Richard Lee 3 Xiong, Jingang 3 Zamfirescu, Tudor I. 3 Zhou, Ziwei 3 Zhu, Lingyun 2 Alesker, Semyon 2 Andrianov, Igor I. 2 Audoly, Basile 2 Bertrand, Jérôme 2 Bonsante, Francesco 2 Boudaoud, Arezki 2 Chen, ChuanQiang 2 Chen, Haodi 2 Chen, Shibing 2 Chou, Kai-Seng 2 DeMarco, Laura Grace 2 Dinew, Sławomir 2 Dolgikh, D. V. 2 Duda, Jakub 2 Fomenko, Valentin Trofimovich 2 Froese, Brittany D. 2 Grotemeyer, Karl-Peter 2 Guggenheimer, Heinrich Walter 2 Huang, Genggeng 2 Huang, Qingbo 2 Isanov, T. G. 2 Itoh, Jin-ichi 2 Janakiraman, Prabhu 2 Jian, Huaiyu 2 Jin, Tianling 2 Ju, Hongjie 2 Kann, Edgar 2 Kim, Youngho 2 Kolesnikov, Alexander V. ...and 444 more Authors all top 5 Cited in 157 Serials 27 Siberian Mathematical Journal 23 Calculus of Variations and Partial Differential Equations 20 Advances in Mathematics 17 Journal of Applied Mathematics and Mechanics 17 Mathematische Zeitschrift 16 Journal of Mathematical Sciences (New York) 13 Archive for Rational Mechanics and Analysis 13 Mathematical Notes 13 Journal of Differential Equations 13 Mathematische Annalen 12 Journal of Mathematical Analysis and Applications 11 International Applied Mechanics 10 Inventiones Mathematicae 10 Journal of Soviet Mathematics 10 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Duke Mathematical Journal 8 The Journal of Geometric Analysis 7 Communications on Pure and Applied Mathematics 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Journal of Functional Analysis 7 Results in Mathematics 6 Geometriae Dedicata 6 Manuscripta Mathematica 6 Annals of Global Analysis and Geometry 6 Discrete & Computational Geometry 6 Communications in Partial Differential Equations 6 Journal of Elasticity 5 Journal of Computational Physics 5 Differential Geometry and its Applications 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal für die Reine und Angewandte Mathematik 4 Monatshefte für Mathematik 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Discrete and Continuous Dynamical Systems 4 Acta Mathematica Sinica. English Series 3 Bulletin of the Australian Mathematical Society 3 Communications in Mathematical Physics 3 Journal of the Mechanics and Physics of Solids 3 Annales de l’Institut Fourier 3 Archiv der Mathematik 3 Journal of Differential Geometry 3 Linear Algebra and its Applications 3 St. Petersburg Mathematical Journal 3 Sbornik: Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Bulletin of the American Mathematical Society 3 Analysis & PDE 3 Science China. Mathematics 2 Journal d’Analyse Mathématique 2 Russian Mathematical Surveys 2 Journal of Geometry and Physics 2 Prikladnaya Matematika i Mekhanika 2 Beiträge zur Algebra und Geometrie 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Czechoslovak Mathematical Journal 2 Journal of Pure and Applied Algebra 2 Mathematische Nachrichten 2 Tohoku Mathematical Journal. Second Series 2 Computer Aided Geometric Design 2 Journal of the American Mathematical Society 2 International Journal of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Potential Analysis 2 Doklady Mathematics 2 Mathematics and Mechanics of Solids 2 Lobachevskii Journal of Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Central European Journal of Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Boundary Value Problems 2 Journal of Mathematical Physics, Analysis, Geometry 2 Proceedings of the Steklov Institute of Mathematics 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 International Journal of Engineering Science 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Nonlinearity 1 Reviews of Modern Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 The Mathematical Intelligencer 1 The Annals of Statistics 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series B 1 Journal of Geometry ...and 57 more Serials all top 5 Cited in 51 Fields 233 Differential geometry (53-XX) 198 Partial differential equations (35-XX) 81 Convex and discrete geometry (52-XX) 58 Mechanics of deformable solids (74-XX) 26 Global analysis, analysis on manifolds (58-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 17 Numerical analysis (65-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Manifolds and cell complexes (57-XX) 12 Relativity and gravitational theory (83-XX) 10 Fluid mechanics (76-XX) 9 Combinatorics (05-XX) 9 Functions of a complex variable (30-XX) 9 Potential theory (31-XX) 9 Functional analysis (46-XX) 9 Geometry (51-XX) 8 Real functions (26-XX) 8 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Mechanics of particles and systems (70-XX) 6 History and biography (01-XX) 6 Algebraic geometry (14-XX) 6 Operator theory (47-XX) 6 Probability theory and stochastic processes (60-XX) 4 Commutative algebra (13-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Algebraic topology (55-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 Mathematical logic and foundations (03-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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