Edit Profile (opens in new tab) Pokhozhaev, Stanislav I. Compute Distance To: Compute Author ID: pokhozhaev.stanislav-i Published as: Pokhozhaev, S. I.; Pohozaev, S. I.; Pohozaev, Stanislav I.; Pohozaev, Stanislav; Pohozhaev, S. I.; Pokhozaev, S. I.; Pokhozhaev, Stanislav I.; Pokhozhaev, Stanislav; Pohožaev, Stanislav; Pohozaev, A. I.; Pohožaev, S. I.; Pokhozhaev, S.; Pohozaev, S. Further Spellings: Похожаев Станислав Иванович Homepage: http://www.mi-ras.ru/~pokhozhaev/ External Links: MGP · Wikidata · Math-Net.Ru · IdRef Documents Indexed: 162 Publications since 1960, including 6 Books 1 Contribution as Editor Biographic References: 4 Publications Co-Authors: 68 Co-Authors with 62 Joint Publications 2,852 Co-Co-Authors all top 5 Co-Authors 101 single-authored 23 Mitidieri, Enzo Luigi 18 Galaktionov, Victor Aleksandrovich 8 Tesei, Alberto 4 Besov, Oleg Vladimirovich 4 Egorov, Yuriĭ Vladimirovich 4 Kondrat’ev, Vladimir Aleksandrovich 3 Il’in, Vladimir Aleksandrovich 3 Kozlov, Valeriĭ Vasil’evich 3 Osipov, Yuriĭ Sergeevich 3 Véron, Laurent 2 Bochkarev, Sergei Viktorovich 2 Caristi, Gabriella 2 Kashin, Boris Sergeevich 2 Kirane, Mokhtar 2 Kudryavtsev, Lev Dmitrievich 2 Moschini, Luisa 2 Nabana, Eric 2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 2 Pikulin, Victor P. 2 Rozov, Nikolaĭ Khristovich 2 Sadovnichiĭ, Viktor Antonovich 2 Telyakovskiĭ, Sergeĭ Aleksandrovich 2 Vladimirov, Vasiliĭ Sergeevich 2 Volkov, Evgeniĭ Alekseevich 1 Agranovich, Mikhail Semënovich 1 Astashova, Irina Viktorovna 1 Bagirov, Lev A. 1 Bidaut-Veron, Marie-Françoise 1 Chechkin, Gregory Aleksandrovich 1 D’Ambrosio, Lorenzo 1 Drábek, Pavel 1 Dubinskiĭ, Yuliĭ Andreevich 1 Dzyadyk, Vladyslav Kyrylovych 1 Gaĭshun, Ivan Vasil’vich 1 Ilyashenko, Yulij Sergeevich 1 Izobov, Nikolaĭ Alekseevich 1 Kon’kov, Andrej A. 1 Konyagin, Sergeĭ Vladimirovich 1 Korneĭchuk, Nikolaĭ Pavlovich 1 Korolyuk, Volodymyr Semenovych 1 Koshlyakov, Vladimir Nikolaevich 1 Kravchenko, Viktor Filippovich 1 Kudryavtsev, N. N. 1 Kuzin, I. A. 1 Lomov, S. A. 1 Lukovsky, Ivan Oleksandrovych 1 Martynyuk, Anatoliĭ Andriĭovych 1 Millionshchikov, Vladimir Mikhaĭlovich 1 Miroshin, N. V. 1 Mishchenko, Evgeniĭ Frolovich 1 Mustonen, Vesa 1 Oleĭnik, Ol’ga Arsen’evna 1 Peletier, Lambertus Adrianus 1 Radkevich, Evgeniĭ Vladimirovich 1 Samoĭlenko, Anatoliĭ Mykhaĭlovych 1 Sergeev, Armen Glebovich 1 Sergeev, Igor’ Nikolaevich 1 Shamaev, Alexei S. 1 Shaposhnikova, Tatiana A. 1 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 1 Shishkov, Andrey E. 1 Skubachevskiĭ, Aleksandr Leonidovich 1 Stechkin, Sergeĭ Borisovich 1 Temlyakov, Vladimir Nikolaevich 1 Ul’yanov, Pëtr Lavrent’evich 1 Vasil’ev, A. B. 1 Vlasov, Viktor Valentinovich 1 Zhikov, Vasiliĭ Vasil’evich all top 5 Serials 16 Soviet Mathematics. Doklady 14 Doklady Mathematics 14 Differential Equations 11 Differential Equations 7 Mathematics of the USSR, Sbornik 6 Sbornik: Mathematics 5 Mathematical Notes 4 Russian Mathematical Surveys 4 Differentsial’nye Uravneniya 4 Matematicheskiĭ Sbornik. Novaya Seriya 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Russian Academy of Sciences. Sbornik. Mathematics 3 Russian Academy of Sciences. Doklady. Mathematics 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Journal of Mathematical Sciences (New York) 2 Journal of Evolution Equations 2 Milan Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 1 Applicable Analysis 1 Journal d’Analyse Mathématique 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Quarterly of Applied Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Transactions of the American Mathematical Society 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential and Integral Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Matematicheskiĭ Sbornik 1 Russian Journal of Mathematical Physics 1 Electronic Journal of Differential Equations (EJDE) 1 Georgian Mathematical Journal 1 Advances in Differential Equations 1 Functional Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Nonlinear Analysis. Real World Applications 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Progress in Nonlinear Differential Equations and Their Applications 1 Modern Birkhäuser Classics 1 Monographs and Research Notes in Mathematics all top 5 Fields 139 Partial differential equations (35-XX) 8 Operator theory (47-XX) 7 Fluid mechanics (76-XX) 6 History and biography (01-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 113 Publications have been cited 2,077 times in 1,478 Documents Cited by ▼ Year ▼ Eigenfunctions of the equation \(\Delta u+\lambda f(u) = 0\). Zbl 0141.30202Pokhozhaev, S. I. 375 1965 A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian. Zbl 1074.35500Mitidieri, E.; Pohozaev, S. I. 231 2001 Positive solutions for the \(p\)-Laplacian: Application of the fibrering method. Zbl 0880.35045Drábek, Pavel; Pohozaev, Stanislav I. 164 1997 A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. (Apriornye otsenki i otsutstvie reshenij nelinejnykh uravnenij i neravenstv v chastnykh proizvodnykh.) Zbl 0987.35002Mitidieri, E.; Pokhozhaev, S. I. 146 2001 Nonexistence results and estimates for some nonlinear elliptic problems. Zbl 1018.35040Bidaut-Véron, Marie-Francoise; Pohozaev, Stanislav 93 2001 On a class of quasilinear hyperbolic equations. Zbl 0328.35060Pohozaev, S. I. 67 1976 The absence of global positive solutions of quasilinear elliptic inequalities. Zbl 0976.35100Mitidieri, E.; Pokhozhaev, S. I. 56 1998 Entire solutions of semilinear elliptic equations. Zbl 0882.35003Kuzin, I.; Pohozaev, S. 53 1997 Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\). Zbl 0988.35095Mitidieri, Enzo; Pohozaev, Stanislav I. 45 2001 Existence and blow up for higher-order semilinear parabolic equations: majorizing order-preserving operators. Zbl 1082.35079Galaktionov, V. A.; Pohozaev, S. I. 43 2002 Nonexistence of positive solutions for quasilinear elliptic problems in \(\mathbb R^N\). Zbl 1056.35507Mitidieri, E.; Pokhozhaev, S. I. 40 1999 Blow-up and critical exponents for nonlinear hyperbolic equations. Zbl 1012.35058Galaktionov, V. A.; Pohozaev, S. I. 35 2003 The essentially nonlinear capacities induced by differential operators. Zbl 0963.35056Pokhozhaev, S. I. 32 1997 Towards a unified approach to nonexistence of solutions for a class of differential inequalities. Zbl 1115.35157Mitidieri, Enzo; Pohozaev, Stanislav I. 32 2004 Global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1122.35040Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I. 31 2004 Third-order nonlinear dispersive equations: shocks, rarefaction, and blowup waves. Zbl 1177.76183Galaktionov, V. A.; Pokhozhaev, S. I. 26 2008 Blow-up results for nonlinear hyperbolic inequalities. Zbl 0965.35197Pohozaev, Stanislav; Véron, Laurent 25 2000 The Dirichlet problem for the equation \(\Delta u=u^2\). Zbl 0097.08503Pokhozhaev, S. I. 24 1960 On the necessary conditions of global existence to a quasilinear inequality in the half-space. Zbl 0943.35110Egorov, Yuri V.; Galaktionov, Victor A.; Kondratiev, Vladimir A.; Pohozaev, Stanislav I. 21 2000 Solvability of nonlinear equations with odd operators. Zbl 0165.49502Pokhozhaev, S. I. 20 1967 Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group. Zbl 0964.35046Pohozaev, Stanislav; Véron, Laurent 19 2000 Nonexistence of local solutions to semilinear partial differential inequalities. Zbl 1064.35220Pohozaev, Stanislav I.; Tesei, Alberto 19 2004 Some Liouville theorems for quasilinear elliptic inequalities. Zbl 1387.35207Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I. 19 2009 On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations. Zbl 1176.35094Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 18 2009 On the method of fibering a solution of nonlinear boundary value problems. Zbl 0734.35036Pokhozhaev, S. I. 18 1990 On equations of the form (Delta u) = f(x,u,Du). Zbl 0483.35033Pokhozhaev, S. I. 17 1982 Blow-up of nonnegative solutions to quasilinear parabolic inequalities. Zbl 1007.35003Pohozaev, Stanislav I.; Tesei, Alberto 16 2000 Nonexistence of weak solutions for some degenerate and singular hyperbolic problems on \(\mathbb{R}_+^{n+1}\). Zbl 1032.35138Mitidieri, E.; Pohozaev, S. I. 15 2001 Critical nonlinearities in partial differential equations. Zbl 1205.35024Pohozaev, Stanislav I. 14 2009 Blow-up and critical exponents for parabolic equations with non-divergent operators: dual porous medium and thin film operators. Zbl 1109.35015Galaktionov, V. A.; Pohozaev, S. I. 13 2006 Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in \({\mathbb{R}}^N\). Zbl 0969.35052Mitidieri, E.; Pokhozhaev, S. I. 12 1999 The fibering method in nonlinear variational problems. Zbl 0901.35018Pohozaev, A. I. 12 1997 On equations of the form \(\Delta u=f(x,u,Du)\). Zbl 0457.35032Pokhozhaev, S. I. 12 1980 Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Zbl 1320.35002Galaktionov, Victor A.; Mitidieri, Enzo L.; Pohozaev, Stanislav I. 11 2015 On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1020.35029Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I. 11 2002 Representation formulae and inequalities for solutions of a class of second order partial differential equations. Zbl 1081.35014D’Ambrosio, Lorenzo; Mitidieri, Enzo; Pohozaev, Stanislav I. 10 2006 Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I. 10 2004 Nonlinear variational problems via the fibering method. Zbl 1184.35001Pohozaev, Stanislav I. 9 2008 On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0491.35020Pokhozhaev, S. I. 9 1982 Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II. Zbl 1244.35019Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 8 2011 On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation. Zbl 1232.35147Pokhozhaev, S. I. 8 2011 Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms. Zbl 0976.35025Moschini, Luisa; Pohozaev, Stanislav I.; Tesei, Alberto 8 2000 On an approach to nonlinear equations. Zbl 0456.47053Pokhozhaev, S. I. 8 1979 On the global fibering method in nonlinear variational problems. Zbl 0940.35092Pohozaev, S. I. 8 1997 The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119Kirane, M.; Nabana, E.; Pokhozhaev, S. I. 8 2002 On blow-up of solutions of the Kuramoto-Sivashinsky equation. Zbl 1161.35491Pokhozhaev, S. I. 8 2008 The fibering method and its applications to nonlinear boundary value problem. Zbl 0964.58016Pohožaev, S. I. 7 1999 Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion. Zbl 1298.35020Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I. 7 2014 Multiple positive solutions of some quasilinear Neumann problems. Zbl 1063.35065Pohozaev, Stanislav I.; Véron, Laurent 7 2000 Some generalizations of the Bernstein theorem. Zbl 1274.35120Mitidieri, E.; Pokhozhaev, S. I. 7 2002 On similarity solutions and blow-up spectra for a semilinear wave equation. Zbl 1039.35066Galaktionov, V. A.; Pohozaev, S. I. 7 2003 On the eigenfunctions of quasilinear elliptic problems. Zbl 0217.13203Pokhozhaev, S. I. 6 1971 Concerning an equation in the theory of combustion. Zbl 1233.35050Pokhozhaev, S. I. 6 2010 Blow-up of smooth solutions of the Korteweg-de Vries equation. Zbl 1246.35182Pohozaev, Stanislav I. 6 2012 Lifespan estimates for solutions of some evolution inequalities. Zbl 1184.35075Mitidieri, E.; Pokhozhaev, S. I. 6 2009 Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. Zbl 1152.35101Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 6 2008 On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 1309.35115Pokhozhaev, S. I. 6 2012 Critical exponents for the absence of solutions for systems of quasilinear parabolic inequalities. Zbl 0994.35026Pokhozhaev, S. I.; Tesei, A. 5 2001 Liouville theorems for some classes of nonlinear nonlocal problems. Zbl 1123.35087Mitidieri, E.; Pokhozhaev, S. I. 5 2005 Nonexistence of global solutions of nonlinear evolution equations. Zbl 1277.35076Pokhozhaev, S. I. 4 2013 On the absence of global solutions of the Korteweg-de Vries equation. Zbl 1276.35134Pohozaev, S. I. 4 2013 Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations. Zbl 1179.35074Galaktionov, Victor; Mitidieri, Enzo; Pokhozhaev, Stanislav 4 2009 On the singular solutions of the Korteweg-de Vries equation. Zbl 1231.35211Pokhozhaev, S. I. 4 2010 Existence of positive solutions to some nonlinear Neumann problems. Zbl 0968.35049Pokhozhaev, S. I.; Tesej, A. 4 1998 Multidimensional scalar conservation laws. Zbl 1049.35130Pokhozhaev, S. I. 4 2003 A general approach to the theory of nonexistence of global solutions to nonlinear partial differential equations and inequalities. Zbl 1125.35348Pokhozhaev, S. I. 4 2002 Instantaneous blow-up of solutions to a class of hyperbolic inequalities. Zbl 1024.35081Pohozaev, Stanislav I.; Tesei, Alberto 4 2002 The Kirchhoff quasilinear hyperbolic equation. Zbl 0584.35073Pokhozhaev, S. I. 4 1985 On stationary solutions of the Vlasov-Poisson equations. Zbl 1204.35163Pokhozhaev, S. I. 4 2010 On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091Mustonen, Vesa; Pohožaev, Stanislav 3 1998 On nonlinear operators having weakly closed range, and quasilinear elliptic equations. Zbl 0201.46501Pokhozhaev, S. I. 3 1969 Local estimates and Liouville theorems for a class of quasilinear inequalities. Zbl 1159.35342Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I. 3 2008 Weighted identities for solutions of generalized Korteweg-de Vries equations. Zbl 1231.35212Pokhozhaev, S. I. 3 2011 Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. Zbl 1146.35382Mitidieri, E.; Pokhozhaev, S. I. 3 2002 On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0511.35014Pokhozhaev, S. I. 3 1983 Capacity induced by a nonlinear operator and applications. Zbl 1157.35305Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I. 3 2008 On the nonexistence of global solutions of the Hamilton-Jacobi equation. Zbl 1194.35103Pohozaev, S. I. 3 2008 On a class of initial-boundary value problems for equations of Korteweg-de Vries type. Zbl 1246.35183Pokhozhaev, S. I. 3 2012 Existence and nonexistence of solutions of nonlinear Neumann problems. Zbl 0944.35030Pohozaev, Stanislav I.; Tesei, Alberto 2 1999 Normal solubility of nonlinear equations in convex uniform Banach spaces. Zbl 0191.14803Pohozaev, S. I. 2 1969 On a constructive method of the calculus of variations. Zbl 0717.58012Pokhozhaev, S. I. 2 1988 On elliptic problems in \(\mathbb{R}{}^ N\) with a supercritical exponent of nonlinearity. Zbl 0746.35015Pokhozhaev, S. I. 2 1991 On a class of singular solutions to the Korteweg-de Vries equation. Zbl 1217.35165Pohozaev, S. I. 2 2010 On a class of nonlinear Dirichlet problems with first order terms. Zbl 1098.35555Moschini, L.; Tesei, A.; Pohozaev, S. I. 2 2001 Riemann quasi-invariants. Zbl 1232.35095Pokhozhaev, S. I. 2 2011 On the dependence of the critical exponent of the nonlinear heat equation on the initial function. Zbl 1227.35054Pokhozhaev, S. I. 2 2011 On entire solutions of semilinear elliptic equations. Zbl 0821.35046Pokhozhaev, S. 2 1992 On the reaction-diffusion electrolysis nonlinear elliptic equations. Zbl 0912.35063Pokhozhaev, S. I. 2 1998 On a priori estimates and gradient catastrophes of smooth solutions to hyperbolic systems of conservation laws. Zbl 1077.35093Pokhozhaev, S. I. 2 2003 The general blowup for nonlinear PDE’s. Zbl 1064.35219Pohozaev, Stanislav 2 2003 Global solvability of the Kuramoto-Sivashinsky equation with bounded initial data. Zbl 1178.35336Pokhozhaev, S. I. 2 2009 Convergence in gradient systems with branching of equilibria. Zbl 1229.35078Galaktionov, V. A.; Pohozaev, S. I.; Shishkov, A. E. 2 2007 On the asymptotics of entire radial solutions of quasilinear elliptic equations. Zbl 0793.35031Pokhozhaev, S. I. 2 1991 On Maslov equations. Zbl 0852.45014Pokhozhaev, S. I. 1 1995 Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A. 1 2013 Blowup for nonlinear initial-boundary value problems. Zbl 1327.35163Galaktionov, V. A.; Pohozaev, S. I. 1 2007 The set of critical values of a functional. Zbl 0174.46103Pokhozhaev, S. I. 1 1969 Normal solvability of nonlinear equations. Zbl 0181.42803Pohozaev, S. I. 1 1969 On the blow-up of solutions to nonlinear initial-boundary value problems. Zbl 1233.35071Pohozaev, S. I. 1 2008 On weakly nonlinear hyperbolic systems. Zbl 0223.35064Pohozhaev, S. I. 1 1970 Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Zbl 1320.35002Galaktionov, Victor A.; Mitidieri, Enzo L.; Pohozaev, Stanislav I. 11 2015 Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion. Zbl 1298.35020Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I. 7 2014 Nonexistence of global solutions of nonlinear evolution equations. Zbl 1277.35076Pokhozhaev, S. I. 4 2013 On the absence of global solutions of the Korteweg-de Vries equation. Zbl 1276.35134Pohozaev, S. I. 4 2013 Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013Agranovich, M. S.; Astashova, I. V.; Bagirov, L. A.; Vlasov, V. V.; Zhikov, V. V.; Ilyashenko, Yu. S.; Kozlov, V. V.; Kon’kov, A. A; Pokhozhaev, S. I.; Radkevich, E. V.; Rozov, N. Kh.; Sergeev, I. N.; Skubachevskii, A. L.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A. 1 2013 Critical nonlinearities in partial differential equations. Zbl 1320.35099Pokhozhaev, S. I. 1 2013 Blow-up of smooth solutions of the Korteweg-de Vries equation. Zbl 1246.35182Pohozaev, Stanislav I. 6 2012 On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 1309.35115Pokhozhaev, S. I. 6 2012 On a class of initial-boundary value problems for equations of Korteweg-de Vries type. Zbl 1246.35183Pokhozhaev, S. I. 3 2012 Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II. Zbl 1244.35019Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 8 2011 On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation. Zbl 1232.35147Pokhozhaev, S. I. 8 2011 Weighted identities for solutions of generalized Korteweg-de Vries equations. Zbl 1231.35212Pokhozhaev, S. I. 3 2011 Riemann quasi-invariants. Zbl 1232.35095Pokhozhaev, S. I. 2 2011 On the dependence of the critical exponent of the nonlinear heat equation on the initial function. Zbl 1227.35054Pokhozhaev, S. I. 2 2011 On the existence and nonexistence of solutions of some quasilinear hyperbolic equations. Zbl 1243.35126Pokhozhaev, S. I. 1 2011 Concerning an equation in the theory of combustion. Zbl 1233.35050Pokhozhaev, S. I. 6 2010 On the singular solutions of the Korteweg-de Vries equation. Zbl 1231.35211Pokhozhaev, S. I. 4 2010 On stationary solutions of the Vlasov-Poisson equations. Zbl 1204.35163Pokhozhaev, S. I. 4 2010 On a class of singular solutions to the Korteweg-de Vries equation. Zbl 1217.35165Pohozaev, S. I. 2 2010 Blow-up of sign-changing solutions to quasilinear parabolic equations. Zbl 1202.35039Pohozaev, S. I. 1 2010 Some Liouville theorems for quasilinear elliptic inequalities. Zbl 1387.35207Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I. 19 2009 On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations. Zbl 1176.35094Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 18 2009 Critical nonlinearities in partial differential equations. Zbl 1205.35024Pohozaev, Stanislav I. 14 2009 Lifespan estimates for solutions of some evolution inequalities. Zbl 1184.35075Mitidieri, E.; Pokhozhaev, S. I. 6 2009 Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations. Zbl 1179.35074Galaktionov, Victor; Mitidieri, Enzo; Pokhozhaev, Stanislav 4 2009 Global solvability of the Kuramoto-Sivashinsky equation with bounded initial data. Zbl 1178.35336Pokhozhaev, S. I. 2 2009 Third-order nonlinear dispersive equations: shocks, rarefaction, and blowup waves. Zbl 1177.76183Galaktionov, V. A.; Pokhozhaev, S. I. 26 2008 Nonlinear variational problems via the fibering method. Zbl 1184.35001Pohozaev, Stanislav I. 9 2008 On blow-up of solutions of the Kuramoto-Sivashinsky equation. Zbl 1161.35491Pokhozhaev, S. I. 8 2008 Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. Zbl 1152.35101Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 6 2008 Local estimates and Liouville theorems for a class of quasilinear inequalities. Zbl 1159.35342Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I. 3 2008 Capacity induced by a nonlinear operator and applications. Zbl 1157.35305Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I. 3 2008 On the nonexistence of global solutions of the Hamilton-Jacobi equation. Zbl 1194.35103Pohozaev, S. I. 3 2008 On the blow-up of solutions to nonlinear initial-boundary value problems. Zbl 1233.35071Pohozaev, S. I. 1 2008 Convergence in gradient systems with branching of equilibria. Zbl 1229.35078Galaktionov, V. A.; Pohozaev, S. I.; Shishkov, A. E. 2 2007 Blowup for nonlinear initial-boundary value problems. Zbl 1327.35163Galaktionov, V. A.; Pohozaev, S. I. 1 2007 Blow-up and critical exponents for parabolic equations with non-divergent operators: dual porous medium and thin film operators. Zbl 1109.35015Galaktionov, V. A.; Pohozaev, S. I. 13 2006 Representation formulae and inequalities for solutions of a class of second order partial differential equations. Zbl 1081.35014D’Ambrosio, Lorenzo; Mitidieri, Enzo; Pohozaev, Stanislav I. 10 2006 Liouville theorems for some classes of nonlinear nonlocal problems. Zbl 1123.35087Mitidieri, E.; Pokhozhaev, S. I. 5 2005 Towards a unified approach to nonexistence of solutions for a class of differential inequalities. Zbl 1115.35157Mitidieri, Enzo; Pohozaev, Stanislav I. 32 2004 Global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1122.35040Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I. 31 2004 Nonexistence of local solutions to semilinear partial differential inequalities. Zbl 1064.35220Pohozaev, Stanislav I.; Tesei, Alberto 19 2004 Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I. 10 2004 Blow-up and critical exponents for nonlinear hyperbolic equations. Zbl 1012.35058Galaktionov, V. A.; Pohozaev, S. I. 35 2003 On similarity solutions and blow-up spectra for a semilinear wave equation. Zbl 1039.35066Galaktionov, V. A.; Pohozaev, S. I. 7 2003 Multidimensional scalar conservation laws. Zbl 1049.35130Pokhozhaev, S. I. 4 2003 On a priori estimates and gradient catastrophes of smooth solutions to hyperbolic systems of conservation laws. Zbl 1077.35093Pokhozhaev, S. I. 2 2003 The general blowup for nonlinear PDE’s. Zbl 1064.35219Pohozaev, Stanislav 2 2003 Existence and blow up for higher-order semilinear parabolic equations: majorizing order-preserving operators. Zbl 1082.35079Galaktionov, V. A.; Pohozaev, S. I. 43 2002 On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1020.35029Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I. 11 2002 The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119Kirane, M.; Nabana, E.; Pokhozhaev, S. I. 8 2002 Some generalizations of the Bernstein theorem. Zbl 1274.35120Mitidieri, E.; Pokhozhaev, S. I. 7 2002 A general approach to the theory of nonexistence of global solutions to nonlinear partial differential equations and inequalities. Zbl 1125.35348Pokhozhaev, S. I. 4 2002 Instantaneous blow-up of solutions to a class of hyperbolic inequalities. Zbl 1024.35081Pohozaev, Stanislav I.; Tesei, Alberto 4 2002 Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. Zbl 1146.35382Mitidieri, E.; Pokhozhaev, S. I. 3 2002 A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian. Zbl 1074.35500Mitidieri, E.; Pohozaev, S. I. 231 2001 A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. (Apriornye otsenki i otsutstvie reshenij nelinejnykh uravnenij i neravenstv v chastnykh proizvodnykh.) Zbl 0987.35002Mitidieri, E.; Pokhozhaev, S. I. 146 2001 Nonexistence results and estimates for some nonlinear elliptic problems. Zbl 1018.35040Bidaut-Véron, Marie-Francoise; Pohozaev, Stanislav 93 2001 Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\). Zbl 0988.35095Mitidieri, Enzo; Pohozaev, Stanislav I. 45 2001 Nonexistence of weak solutions for some degenerate and singular hyperbolic problems on \(\mathbb{R}_+^{n+1}\). Zbl 1032.35138Mitidieri, E.; Pohozaev, S. I. 15 2001 Critical exponents for the absence of solutions for systems of quasilinear parabolic inequalities. Zbl 0994.35026Pokhozhaev, S. I.; Tesei, A. 5 2001 On a class of nonlinear Dirichlet problems with first order terms. Zbl 1098.35555Moschini, L.; Tesei, A.; Pohozaev, S. I. 2 2001 Blow-up results for nonlinear hyperbolic inequalities. Zbl 0965.35197Pohozaev, Stanislav; Véron, Laurent 25 2000 On the necessary conditions of global existence to a quasilinear inequality in the half-space. Zbl 0943.35110Egorov, Yuri V.; Galaktionov, Victor A.; Kondratiev, Vladimir A.; Pohozaev, Stanislav I. 21 2000 Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group. Zbl 0964.35046Pohozaev, Stanislav; Véron, Laurent 19 2000 Blow-up of nonnegative solutions to quasilinear parabolic inequalities. Zbl 1007.35003Pohozaev, Stanislav I.; Tesei, Alberto 16 2000 Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms. Zbl 0976.35025Moschini, Luisa; Pohozaev, Stanislav I.; Tesei, Alberto 8 2000 Multiple positive solutions of some quasilinear Neumann problems. Zbl 1063.35065Pohozaev, Stanislav I.; Véron, Laurent 7 2000 Nonexistence of positive solutions for quasilinear elliptic problems in \(\mathbb R^N\). Zbl 1056.35507Mitidieri, E.; Pokhozhaev, S. I. 40 1999 Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in \({\mathbb{R}}^N\). Zbl 0969.35052Mitidieri, E.; Pokhozhaev, S. I. 12 1999 The fibering method and its applications to nonlinear boundary value problem. Zbl 0964.58016Pohožaev, S. I. 7 1999 Existence and nonexistence of solutions of nonlinear Neumann problems. Zbl 0944.35030Pohozaev, Stanislav I.; Tesei, Alberto 2 1999 The Cauchy problem for the extended Fisher-Kolmogorov equation. Zbl 0937.35083Peletier, L. A.; Pokhozhaev, S. I. 1 1999 The existence and nonexistence of periodic solutions to certain nonlinear hyperbolic equations. Zbl 0990.35015Pokhozhaev, S. I. 1 1999 The absence of global positive solutions of quasilinear elliptic inequalities. Zbl 0976.35100Mitidieri, E.; Pokhozhaev, S. I. 56 1998 Existence of positive solutions to some nonlinear Neumann problems. Zbl 0968.35049Pokhozhaev, S. I.; Tesej, A. 4 1998 On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091Mustonen, Vesa; Pohožaev, Stanislav 3 1998 On the reaction-diffusion electrolysis nonlinear elliptic equations. Zbl 0912.35063Pokhozhaev, S. I. 2 1998 On the existence and nonexistence of periodic solutions to some nonlinear hyperbolic equations. Zbl 0972.35073Pokhozhaev, S. I. 1 1998 Positive solutions for the \(p\)-Laplacian: Application of the fibrering method. Zbl 0880.35045Drábek, Pavel; Pohozaev, Stanislav I. 164 1997 Entire solutions of semilinear elliptic equations. Zbl 0882.35003Kuzin, I.; Pohozaev, S. 53 1997 The essentially nonlinear capacities induced by differential operators. Zbl 0963.35056Pokhozhaev, S. I. 32 1997 The fibering method in nonlinear variational problems. Zbl 0901.35018Pohozaev, A. I. 12 1997 On the global fibering method in nonlinear variational problems. Zbl 0940.35092Pohozaev, S. I. 8 1997 On Maslov equations. Zbl 0852.45014Pokhozhaev, S. I. 1 1995 A nonlinear elliptic problem of H. Amann. Zbl 0827.35038Pokhozhaev, S. I. 1 1994 On entire radial solutions of quasilinear elliptic equations. Zbl 0865.35046Pokhozhaev, S. I. 1 1993 On entire solutions of semilinear elliptic equations. Zbl 0821.35046Pokhozhaev, S. 2 1992 On entire radial solutions of some quasilinear elliptic equations. Zbl 0797.35041Pokhozhaev, S. I. 1 1992 On elliptic problems in \(\mathbb{R}{}^ N\) with a supercritical exponent of nonlinearity. Zbl 0746.35015Pokhozhaev, S. I. 2 1991 On the asymptotics of entire radial solutions of quasilinear elliptic equations. Zbl 0793.35031Pokhozhaev, S. I. 2 1991 On entire solutions of a class of quasilinear elliptic equations. Zbl 0782.35012Pokhozhaev, S. I. 1 1991 On the method of fibering a solution of nonlinear boundary value problems. Zbl 0734.35036Pokhozhaev, S. I. 18 1990 On a constructive method of the calculus of variations. Zbl 0717.58012Pokhozhaev, S. I. 2 1988 The Kirchhoff quasilinear hyperbolic equation. Zbl 0584.35073Pokhozhaev, S. I. 4 1985 On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0511.35014Pokhozhaev, S. I. 3 1983 A priori bounds of solutions of quasilinear elliptic equations of arbitrary order. Zbl 0523.35049Pokhozhaev, S. I. 1 1983 On equations of the form (Delta u) = f(x,u,Du). Zbl 0483.35033Pokhozhaev, S. I. 17 1982 On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0491.35020Pokhozhaev, S. I. 9 1982 On quasilinear elliptic equations of high order. Zbl 0456.35035Pokhozhaev, S. I. 1 1981 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,344 Authors 42 Korpusov, Maksim Olegovich 33 Galaktionov, Victor Aleksandrovich 32 Pokhozhaev, Stanislav I. 30 Kirane, Mokhtar 28 Samet, Bessem 25 Jleli, Mohamed Boussairi 23 Mitidieri, Enzo Luigi 22 Galakhov, Evgeniĭ Igorevich 22 Wu, Tsungfang 18 D’Ambrosio, Lorenzo 16 Salieva, Olga Alekseevna 15 Dzhokhadze, Otar Mikhajlovich 15 Kharibegashvili, S. S. 14 Chen, Caisheng 14 Farina, Alberto 14 Filippucci, Roberta 14 Kon’kov, Andrej A. 13 Il’yasov, Yavdat Shavkatovich 12 Álvarez-Caudevilla, Pablo 12 Nguyen Thanh Long 12 Passaseo, Donato 11 Al-saedi, Ahmed Eid Salem 11 Punzo, Fabio 11 Sun, Yuhua 11 Véron, Laurent 11 Wei, Juncheng 11 Yang, Zuodong 10 Ahmad, Bashir 10 Fino, Ahmad Z. 10 Gazzola, Filippo 10 Yushkov, Egor Vladislavovich 9 Alves, Claudianor Oliveira 9 Musso, Monica 9 Panin, Aleksandr Anatol’evich 9 Pistoia, Angela 9 Quaas, Alexander 9 Yuldashev, Tursun Kamaldinovich 8 Aliev, Akbar B. 8 Bidaut-Veron, Marie-Françoise 8 Ghergu, Marius 8 Ishige, Kazuhiro 8 Kawakami, Tatsuki 8 Miyagaki, Olimpio Hiroshi 8 Muravnik, Andreĭ Borisovich 8 Saoudi, Kamel 8 Souplet, Philippe 8 Sreenadh, Konijeti 8 Ubilla, Pedro 7 Chen, Wenjing 7 García-Melián, Jorge 7 Molle, Riccardo 7 Skrzypczak, Leszek 7 Sun, Juntao 7 Tatar, Nasser-eddine 7 Tesei, Alberto 7 Xiu, Zonghu 6 Astashova, Irina Viktorovna 6 D’Abbicco, Marcello 6 Dancer, Edward Norman 6 Del Pino, Manuel A. 6 El Hamidi, Abdallah 6 Ferrero, Alberto 6 Franca, Matteo 6 Grossi, Massimo 6 Grunau, Hans-Christoph 6 Harrabi, Abdellaziz 6 Klimov, Vladimir Stepanovich 6 Le Thi Phuong Ngoc 6 Levashova, Natalia T. 6 Monticelli, Dario Daniele 6 Pacella, Filomena 6 Pucci, Patrizia 6 Sciunzi, Berardino 6 Serrin, James 6 Yin, Jingxue 5 An, Tianqing 5 Antontsev, Stanislav Nikolaevich 5 Bozhkov, Yuri Dimitrov 5 Carvalho, Marcos L. M. 5 Clapp, Mónica 5 Cowan, Craig 5 Da Silva, Edcarlos Domingos 5 Dai, Wei 5 Do Ó, João M. Bezerra 5 Evans, Jonathan David 5 Felmer, Patricio L. 5 Feng, Zhaosheng 5 Goulart, Claudiney 5 Goyal, Sarika 5 Gutlyanskiĭ, Vladimir Ya. 5 Hsu, TsingSan 5 Kajikiya, Ryuji 5 Laptev, Gennady G. 5 Le Xuan Truong 5 Li, Xiaohong 5 Lions, Pierre-Louis 5 Lorca, Sebastian Antonio 5 Nefedov, Nikolaĭ Nikolaevich 5 Okabe, Shinya 5 Phan, Quoc Hung ...and 1,244 more Authors all top 5 Cited in 235 Serials 137 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 117 Journal of Differential Equations 113 Journal of Mathematical Analysis and Applications 46 Mathematical Notes 46 Differential Equations 40 Nonlinear Analysis. Theory, Methods & Applications 36 Calculus of Variations and Partial Differential Equations 32 Annales de l’Institut Henri Poincaré. 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Mathématiques 2 Zeitschrift für Analysis und ihre Anwendungen ...and 135 more Serials all top 5 Cited in 38 Fields 1,363 Partial differential equations (35-XX) 85 Ordinary differential equations (34-XX) 79 Operator theory (47-XX) 70 Global analysis, analysis on manifolds (58-XX) 42 Functional analysis (46-XX) 35 Real functions (26-XX) 33 Fluid mechanics (76-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 32 Numerical analysis (65-XX) 32 Mechanics of deformable solids (74-XX) 27 Integral equations (45-XX) 20 Potential theory (31-XX) 17 Differential geometry (53-XX) 16 Quantum theory (81-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Dynamical systems and ergodic theory (37-XX) 7 Biology and other natural sciences (92-XX) 6 Topological groups, Lie groups (22-XX) 6 Measure and integration (28-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 History and biography (01-XX) 5 Systems theory; control (93-XX) 4 Functions of a complex variable (30-XX) 4 Algebraic topology (55-XX) 4 Probability theory and stochastic processes (60-XX) 4 Optics, electromagnetic theory (78-XX) 3 Abstract harmonic analysis (43-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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