Edit Profile (opens in new tab) Pokhozhaev, Stanislav I. (b. 1935 d. 2014) Co-Author Distance 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. more...less Further Spellings: Похожаев Станислав Иванович Homepage: http://www.mi-ras.ru/~pokhozhaev/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 167 Publications since 1960, including 6 Books and 3 Additional arXiv Preprints 1 Contribution as Editor Biographic References: 4 Publications Co-Authors: 67 Co-Authors with 66 Joint Publications 2,995 Co-Co-Authors all top 5 Co-Authors 101 single-authored 25 Mitidieri, Enzo Luigi 21 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 Bochkarëv, Sergeĭ 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 Shishkov, Andrey E. 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’evich 1 Il’yashenko, Yuliĭ 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 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 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 4 Journal of Mathematical Sciences (New York) 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 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 144 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 124 Publications have been cited 3,100 times in 2,202 Documents Cited by ▼ Year ▼ Eigenfunctions of the equation \(\Delta u+\lambda f(u) = 0\). Zbl 0141.30202 Pokhozhaev, S. I. 648 1965 A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian. Zbl 1074.35500 Mitidieri, E.; Pohozaev, S. I. 361 2001 Positive solutions for the \(p\)-Laplacian: Application of the fibrering method. Zbl 0880.35045 Drábek, Pavel; Pohozaev, Stanislav I. 231 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 0987.35002 Mitidieri, E.; Pokhozhaev, S. I. 205 2001 Nonexistence results and estimates for some nonlinear elliptic problems. Zbl 1018.35040 Bidaut-Véron, Marie-Francoise; Pohozaev, Stanislav 134 2001 On a class of quasilinear hyperbolic equations. Zbl 0328.35060 Pohozaev, S. I. 86 1976 The absence of global positive solutions of quasilinear elliptic inequalities. Zbl 0976.35100 Mitidieri, E.; Pokhozhaev, S. I. 85 1998 Nonexistence of positive solutions for quasilinear elliptic problems in \(\mathbb R^N\). Zbl 1056.35507 Mitidieri, E.; Pokhozhaev, S. I. 83 1999 Entire solutions of semilinear elliptic equations. Zbl 0882.35003 Kuzin, I.; Pohozaev, S. 67 1997 Existence and blow up for higher-order semilinear parabolic equations: majorizing order-preserving operators. Zbl 1082.35079 Galaktionov, V. A.; Pohozaev, S. I. 57 2002 Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\). Zbl 0988.35095 Mitidieri, Enzo; Pohozaev, Stanislav I. 57 2001 Blow-up results for nonlinear hyperbolic inequalities. Zbl 0965.35197 Pohozaev, Stanislav; Véron, Laurent 46 2000 Blow-up and critical exponents for nonlinear hyperbolic equations. Zbl 1012.35058 Galaktionov, V. A.; Pohozaev, S. I. 43 2003 Towards a unified approach to nonexistence of solutions for a class of differential inequalities. Zbl 1115.35157 Mitidieri, Enzo; Pohozaev, Stanislav I. 41 2004 The essentially nonlinear capacities induced by differential operators. Zbl 0963.35056 Pokhozhaev, S. I. 41 1997 Global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1122.35040 Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I. 38 2004 The Dirichlet problem for the equation \(\Delta u=u^2\). Zbl 0097.08503 Pokhozhaev, S. I. 38 1960 Third-order nonlinear dispersive equations: shocks, rarefaction, and blowup waves. Zbl 1177.76183 Galaktionov, V. A.; Pokhozhaev, S. I. 37 2008 Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group. Zbl 0964.35046 Pohozaev, Stanislav; Véron, Laurent 31 2000 On the method of fibering a solution of nonlinear boundary value problems. Zbl 0734.35036 Pokhozhaev, S. I. 30 1990 Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in \({\mathbb{R}}^N\). Zbl 0969.35052 Mitidieri, E.; Pokhozhaev, S. I. 27 1999 Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Zbl 1320.35002 Galaktionov, Victor A.; Mitidieri, Enzo L.; Pohozaev, Stanislav I. 27 2015 On an approach to nonlinear equations. Zbl 0456.47053 Pokhozhaev, S. I. 25 1979 Solvability of nonlinear equations with odd operators. Zbl 0165.49502 Pokhozhaev, S. I. 24 1967 On the necessary conditions of global existence to a quasilinear inequality in the half-space. Zbl 0943.35110 Egorov, Yuri V.; Galaktionov, Victor A.; Kondratiev, Vladimir A.; Pohozaev, Stanislav I. 24 2000 Nonexistence of local solutions to semilinear partial differential inequalities. Zbl 1064.35220 Pohozaev, Stanislav I.; Tesei, Alberto 22 2004 Nonexistence of weak solutions for some degenerate and singular hyperbolic problems on \(\mathbb{R}_+^{n+1}\). Zbl 1032.35138 Mitidieri, E.; Pohozaev, S. I. 21 2001 Some Liouville theorems for quasilinear elliptic inequalities. Zbl 1387.35207 Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I. 21 2009 On equations of the form (Delta u) = f(x,u,Du). Zbl 0483.35033 Pokhozhaev, S. I. 19 1982 On equations of the form \(\Delta u=f(x,u,Du)\). Zbl 0457.35032 Pokhozhaev, S. I. 19 1980 On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations. Zbl 1176.35094 Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 18 2009 Blow-up of nonnegative solutions to quasilinear parabolic inequalities. Zbl 1007.35003 Pohozaev, Stanislav I.; Tesei, Alberto 18 2000 On the method of fibering a solution in nonlinear boundary value problems. Zbl 0789.35055 Pokhozhaev, S. I. 16 1990 The fibering method in nonlinear variational problems. Zbl 0901.35018 Pohozaev, A. I. 16 1997 Critical nonlinearities in partial differential equations. Zbl 1205.35024 Pohozaev, Stanislav I. 15 2009 On blow-up of solutions of the Kuramoto-Sivashinsky equation. Zbl 1161.35491 Pokhozhaev, S. I. 14 2008 On the eigenfunctions of quasilinear elliptic problems. Zbl 0217.13203 Pokhozhaev, S. I. 14 1971 Concerning an equation in the theory of combustion. Zbl 1233.35050 Pokhozhaev, S. I. 14 2010 On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1020.35029 Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I. 13 2002 Blow-up and critical exponents for parabolic equations with non-divergent operators: dual porous medium and thin film operators. Zbl 1109.35015 Galaktionov, V. A.; Pohozaev, S. I. 13 2006 Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176 Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I. 13 2004 The Kirchhoff quasilinear hyperbolic equation. Zbl 0584.35073 Pokhozhaev, S. I. 13 1985 Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. Zbl 1146.35382 Mitidieri, E.; Pokhozhaev, S. I. 11 2002 Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. Zbl 1152.35101 Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 11 2008 Some generalizations of the Bernstein theorem. Zbl 1274.35120 Mitidieri, E.; Pokhozhaev, S. I. 11 2002 Representation formulae and inequalities for solutions of a class of second order partial differential equations. Zbl 1081.35014 D’Ambrosio, Lorenzo; Mitidieri, Enzo; Pohozaev, Stanislav I. 11 2006 Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms. Zbl 0976.35025 Moschini, Luisa; Pohozaev, Stanislav I.; Tesei, Alberto 11 2000 Liouville theorems for some classes of nonlinear nonlocal problems. Zbl 1123.35087 Mitidieri, E.; Pokhozhaev, S. I. 11 2005 On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0491.35020 Pokhozhaev, S. I. 10 1982 The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119 Kirane, M.; Nabana, E.; Pokhozhaev, S. I. 9 2002 Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion. Zbl 1298.35020 Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I. 9 2014 Nonlinear variational problems via the fibering method. Zbl 1184.35001 Pohozaev, Stanislav I. 9 2008 Critical exponents for the absence of solutions for systems of quasilinear parabolic inequalities. Zbl 0994.35026 Pokhozhaev, S. I.; Tesei, A. 8 2001 On the global fibering method in nonlinear variational problems. Zbl 0940.35092 Pohozaev, S. I. 8 1997 On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation. Zbl 1232.35147 Pokhozhaev, S. I. 8 2011 Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II. Zbl 1244.35019 Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 8 2011 On similarity solutions and blow-up spectra for a semilinear wave equation. Zbl 1039.35066 Galaktionov, V. A.; Pohozaev, S. I. 7 2003 Nonexistence of global solutions of nonlinear evolution equations. Zbl 1277.35076 Pokhozhaev, S. I. 7 2013 The fibering method and its applications to nonlinear boundary value problem. Zbl 0964.58016 Pohožaev, S. I. 7 1999 Multiple positive solutions of some quasilinear Neumann problems. Zbl 1063.35065 Pohozaev, Stanislav I.; Véron, Laurent 7 2000 On the singular solutions of the Korteweg-de Vries equation. Zbl 1231.35211 Pokhozhaev, S. I. 7 2010 Lifespan estimates for solutions of some evolution inequalities. Zbl 1184.35075 Mitidieri, E.; Pokhozhaev, S. I. 7 2009 Instantaneous blow-up of solutions to a class of hyperbolic inequalities. Zbl 1024.35081 Pohozaev, Stanislav I.; Tesei, Alberto 6 2002 Existence of positive solutions to some nonlinear Neumann problems. Zbl 0968.35049 Pokhozhaev, S. I.; Tesej, A. 6 1998 Blow-up of smooth solutions of the Korteweg-de Vries equation. Zbl 1246.35182 Pohozaev, Stanislav I. 6 2012 On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 1309.35115 Pokhozhaev, S. I. 6 2012 A general approach to the theory of nonexistence of global solutions to nonlinear partial differential equations and inequalities. Zbl 1125.35348 Pokhozhaev, S. I. 5 2002 Multidimensional scalar conservation laws. Zbl 1049.35130 Pokhozhaev, S. I. 5 2003 Normal solvability of nonlinear equations. Zbl 0181.42803 Pohozaev, S. I. 5 1969 On stationary solutions of the Vlasov-Poisson equations. Zbl 1204.35163 Pokhozhaev, S. I. 5 2010 Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations. Zbl 1179.35074 Galaktionov, Victor; Mitidieri, Enzo; Pokhozhaev, Stanislav 4 2009 Existence and nonexistence of solutions of nonlinear Neumann problems. Zbl 0944.35030 Pohozaev, Stanislav I.; Tesei, Alberto 4 1999 Weighted identities for solutions of generalized Korteweg-de Vries equations. Zbl 1231.35212 Pokhozhaev, S. I. 4 2011 On the dependence of the critical exponent of the nonlinear heat equation on the initial function. Zbl 1227.35054 Pokhozhaev, S. I. 4 2011 On a class of initial-boundary value problems for equations of Korteweg-de Vries type. Zbl 1246.35183 Pokhozhaev, S. I. 4 2012 On the absence of global solutions of the Korteweg-de Vries equation. Zbl 1276.35134 Pohozaev, S. I. 4 2013 The general blowup for nonlinear PDE’s. Zbl 1064.35219 Pohozaev, Stanislav 3 2003 Local estimates and Liouville theorems for a class of quasilinear inequalities. Zbl 1159.35342 Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I. 3 2008 On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0511.35014 Pokhozhaev, S. I. 3 1983 On nonlinear operators having weakly closed range, and quasilinear elliptic equations. Zbl 0201.46501 Pokhozhaev, S. I. 3 1969 On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091 Mustonen, Vesa; Pohožaev, Stanislav 3 1998 Equations in mathematical physics. A practical course. Transl. from the Russian by A. Iacob. Zbl 0972.35001 Pikulin, V. P.; Pohozaev, S. I. 3 2001 Capacity induced by a nonlinear operator and applications. Zbl 1157.35305 Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I. 3 2008 On the nonexistence of global solutions of the Hamilton-Jacobi equation. Zbl 1194.35103 Pohozaev, S. I. 3 2008 On the boundary-value problem for the equation \(\Delta U = U^ 2\). Zbl 0111.09803 Pokhozaev, S. I. 3 1961 Normal solubility of nonlinear equations in convex uniform Banach spaces. Zbl 0191.14803 Pohozaev, S. I. 3 1969 On the blow-up of solutions to nonlinear initial-boundary value problems. Zbl 1233.35071 Pohozaev, S. I. 3 2008 On a constructive method of the calculus of variations. Zbl 0717.58012 Pokhozhaev, S. I. 3 1988 On entire solutions of a class of quasilinear elliptic equations. Zbl 0782.35012 Pokhozhaev, S. I. 2 1991 High-order quasilinear elliptic equations. Zbl 0544.35047 Pokhozhaev, S. I. 2 1981 Convergence in gradient systems with branching of equilibria. Zbl 1229.35078 Galaktionov, V. A.; Pohozaev, S. I.; Shishkov, A. E. 2 2007 The set of critical values of a functional. Zbl 0174.46103 Pokhozhaev, S. I. 2 1969 On entire solutions of semilinear elliptic equations. Zbl 0821.35046 Pokhozhaev, S. 2 1992 On Maslov equations. Zbl 0852.45014 Pokhozhaev, S. I. 2 1995 On the asymptotics of entire radial solutions of quasilinear elliptic equations. Zbl 0793.35031 Pokhozhaev, S. I. 2 1991 On a priori estimates and gradient catastrophes of smooth solutions to hyperbolic systems of conservation laws. Zbl 1077.35093 Pokhozhaev, S. I. 2 2003 On a class of nonlinear Dirichlet problems with first order terms. Zbl 1098.35555 Moschini, L.; Tesei, A.; Pohozaev, S. I. 2 2001 On the reaction-diffusion electrolysis nonlinear elliptic equations. Zbl 0912.35063 Pokhozhaev, S. I. 2 1998 Über der kritischen Werte von Funktionalen. Zbl 0171.12701 Pokhozhaev, S. I. 2 1968 Critical nonlinearities in partial differential equations. Zbl 1320.35099 Pokhozhaev, S. I. 2 2013 Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Zbl 1320.35002 Galaktionov, Victor A.; Mitidieri, Enzo L.; Pohozaev, Stanislav I. 27 2015 Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion. Zbl 1298.35020 Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I. 9 2014 Smooth solutions of the Navier-Stokes equations. Zbl 1361.35133 Pokhozhaev, S. I. 1 2014 Nonexistence of global solutions of nonlinear evolution equations. Zbl 1277.35076 Pokhozhaev, S. I. 7 2013 On the absence of global solutions of the Korteweg-de Vries equation. Zbl 1276.35134 Pohozaev, S. I. 4 2013 Critical nonlinearities in partial differential equations. Zbl 1320.35099 Pokhozhaev, S. I. 2 2013 Vladimir Alexandrovich Kondratiev. July 2, 1935–March 11, 2010. Zbl 1277.01013 Agranovich, 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 Blow-up of smooth solutions of the Korteweg-de Vries equation. Zbl 1246.35182 Pohozaev, Stanislav I. 6 2012 On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 1309.35115 Pokhozhaev, S. I. 6 2012 On a class of initial-boundary value problems for equations of Korteweg-de Vries type. Zbl 1246.35183 Pokhozhaev, S. I. 4 2012 Blow-up of global sign-changing solutions of a nonlinear heat equation. Zbl 1387.35385 Pohozaev, S. I. 1 2012 On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation. Zbl 1232.35147 Pokhozhaev, S. I. 8 2011 Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II. Zbl 1244.35019 Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 8 2011 Weighted identities for solutions of generalized Korteweg-de Vries equations. Zbl 1231.35212 Pokhozhaev, S. I. 4 2011 On the dependence of the critical exponent of the nonlinear heat equation on the initial function. Zbl 1227.35054 Pokhozhaev, S. I. 4 2011 Riemann quasi-invariants. Zbl 1232.35095 Pokhozhaev, S. I. 2 2011 On the existence and nonexistence of solutions of some quasilinear hyperbolic equations. Zbl 1243.35126 Pokhozhaev, S. I. 1 2011 Concerning an equation in the theory of combustion. Zbl 1233.35050 Pokhozhaev, S. I. 14 2010 On the singular solutions of the Korteweg-de Vries equation. Zbl 1231.35211 Pokhozhaev, S. I. 7 2010 On stationary solutions of the Vlasov-Poisson equations. Zbl 1204.35163 Pokhozhaev, S. I. 5 2010 On a class of singular solutions to the Korteweg-de Vries equation. Zbl 1217.35165 Pohozaev, S. I. 2 2010 Blow-up of sign-changing solutions to quasilinear parabolic equations. Zbl 1202.35039 Pohozaev, S. I. 1 2010 Some Liouville theorems for quasilinear elliptic inequalities. Zbl 1387.35207 Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I. 21 2009 On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations. Zbl 1176.35094 Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 18 2009 Critical nonlinearities in partial differential equations. Zbl 1205.35024 Pohozaev, Stanislav I. 15 2009 Lifespan estimates for solutions of some evolution inequalities. Zbl 1184.35075 Mitidieri, E.; Pokhozhaev, S. I. 7 2009 Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations. Zbl 1179.35074 Galaktionov, Victor; Mitidieri, Enzo; Pokhozhaev, Stanislav 4 2009 Global solvability of the Kuramoto-Sivashinsky equation with bounded initial data. Zbl 1178.35336 Pokhozhaev, S. I. 2 2009 Third-order nonlinear dispersive equations: shocks, rarefaction, and blowup waves. Zbl 1177.76183 Galaktionov, V. A.; Pokhozhaev, S. I. 37 2008 On blow-up of solutions of the Kuramoto-Sivashinsky equation. Zbl 1161.35491 Pokhozhaev, S. I. 14 2008 Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. Zbl 1152.35101 Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I. 11 2008 Nonlinear variational problems via the fibering method. Zbl 1184.35001 Pohozaev, Stanislav I. 9 2008 Local estimates and Liouville theorems for a class of quasilinear inequalities. Zbl 1159.35342 Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I. 3 2008 Capacity induced by a nonlinear operator and applications. Zbl 1157.35305 Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I. 3 2008 On the nonexistence of global solutions of the Hamilton-Jacobi equation. Zbl 1194.35103 Pohozaev, S. I. 3 2008 On the blow-up of solutions to nonlinear initial-boundary value problems. Zbl 1233.35071 Pohozaev, S. I. 3 2008 Convergence in gradient systems with branching of equilibria. Zbl 1229.35078 Galaktionov, V. A.; Pohozaev, S. I.; Shishkov, A. E. 2 2007 Blowup for nonlinear initial-boundary value problems. Zbl 1327.35163 Galaktionov, 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 1109.35015 Galaktionov, V. A.; Pohozaev, S. I. 13 2006 Representation formulae and inequalities for solutions of a class of second order partial differential equations. Zbl 1081.35014 D’Ambrosio, Lorenzo; Mitidieri, Enzo; Pohozaev, Stanislav I. 11 2006 Liouville theorems for some classes of nonlinear nonlocal problems. Zbl 1123.35087 Mitidieri, E.; Pokhozhaev, S. I. 11 2005 Towards a unified approach to nonexistence of solutions for a class of differential inequalities. Zbl 1115.35157 Mitidieri, Enzo; Pohozaev, Stanislav I. 41 2004 Global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1122.35040 Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I. 38 2004 Nonexistence of local solutions to semilinear partial differential inequalities. Zbl 1064.35220 Pohozaev, Stanislav I.; Tesei, Alberto 22 2004 Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176 Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I. 13 2004 Blow-up and critical exponents for nonlinear hyperbolic equations. Zbl 1012.35058 Galaktionov, V. A.; Pohozaev, S. I. 43 2003 On similarity solutions and blow-up spectra for a semilinear wave equation. Zbl 1039.35066 Galaktionov, V. A.; Pohozaev, S. I. 7 2003 Multidimensional scalar conservation laws. Zbl 1049.35130 Pokhozhaev, S. I. 5 2003 The general blowup for nonlinear PDE’s. Zbl 1064.35219 Pohozaev, Stanislav 3 2003 On a priori estimates and gradient catastrophes of smooth solutions to hyperbolic systems of conservation laws. Zbl 1077.35093 Pokhozhaev, S. I. 2 2003 On systems of singular quasilinear parabolic equations and inequalities. Zbl 1514.35260 Mitidieri, E.; Pokhozhaev, S. I. 1 2003 Existence and blow up for higher-order semilinear parabolic equations: majorizing order-preserving operators. Zbl 1082.35079 Galaktionov, V. A.; Pohozaev, S. I. 57 2002 On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range. Zbl 1020.35029 Egorov, Yu. V.; Galaktionov, V. A.; Kondratiev, V. A.; Pohozaev, S. I. 13 2002 Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. Zbl 1146.35382 Mitidieri, E.; Pokhozhaev, S. I. 11 2002 Some generalizations of the Bernstein theorem. Zbl 1274.35120 Mitidieri, E.; Pokhozhaev, S. I. 11 2002 The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119 Kirane, M.; Nabana, E.; Pokhozhaev, S. I. 9 2002 Instantaneous blow-up of solutions to a class of hyperbolic inequalities. Zbl 1024.35081 Pohozaev, Stanislav I.; Tesei, Alberto 6 2002 A general approach to the theory of nonexistence of global solutions to nonlinear partial differential equations and inequalities. Zbl 1125.35348 Pokhozhaev, S. I. 5 2002 A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities. Transl. from the Russian. Zbl 1074.35500 Mitidieri, E.; Pohozaev, S. I. 361 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 0987.35002 Mitidieri, E.; Pokhozhaev, S. I. 205 2001 Nonexistence results and estimates for some nonlinear elliptic problems. Zbl 1018.35040 Bidaut-Véron, Marie-Francoise; Pohozaev, Stanislav 134 2001 Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on \(\mathbb{R}^n\). Zbl 0988.35095 Mitidieri, Enzo; Pohozaev, Stanislav I. 57 2001 Nonexistence of weak solutions for some degenerate and singular hyperbolic problems on \(\mathbb{R}_+^{n+1}\). Zbl 1032.35138 Mitidieri, E.; Pohozaev, S. I. 21 2001 Critical exponents for the absence of solutions for systems of quasilinear parabolic inequalities. Zbl 0994.35026 Pokhozhaev, S. I.; Tesei, A. 8 2001 Equations in mathematical physics. A practical course. Transl. from the Russian by A. Iacob. Zbl 0972.35001 Pikulin, V. P.; Pohozaev, S. I. 3 2001 On a class of nonlinear Dirichlet problems with first order terms. Zbl 1098.35555 Moschini, L.; Tesei, A.; Pohozaev, S. I. 2 2001 Blow-up results for nonlinear hyperbolic inequalities. Zbl 0965.35197 Pohozaev, Stanislav; Véron, Laurent 46 2000 Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group. Zbl 0964.35046 Pohozaev, Stanislav; Véron, Laurent 31 2000 On the necessary conditions of global existence to a quasilinear inequality in the half-space. Zbl 0943.35110 Egorov, Yuri V.; Galaktionov, Victor A.; Kondratiev, Vladimir A.; Pohozaev, Stanislav I. 24 2000 Blow-up of nonnegative solutions to quasilinear parabolic inequalities. Zbl 1007.35003 Pohozaev, Stanislav I.; Tesei, Alberto 18 2000 Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms. Zbl 0976.35025 Moschini, Luisa; Pohozaev, Stanislav I.; Tesei, Alberto 11 2000 Multiple positive solutions of some quasilinear Neumann problems. Zbl 1063.35065 Pohozaev, Stanislav I.; Véron, Laurent 7 2000 Conditions for the existence of solutions to a quasilinear inequality in half-space. Zbl 0978.35104 Galaktionov, V. A.; Egorov, Yu. V.; Kondrat’ev, V. A.; Pokhozhaev, S. I. 1 2000 Nonexistence of positive solutions for quasilinear elliptic problems in \(\mathbb R^N\). Zbl 1056.35507 Mitidieri, E.; Pokhozhaev, S. I. 83 1999 Nonexistence of positive solutions for a system of quasilinear elliptic equations and inequalities in \({\mathbb{R}}^N\). Zbl 0969.35052 Mitidieri, E.; Pokhozhaev, S. I. 27 1999 The fibering method and its applications to nonlinear boundary value problem. Zbl 0964.58016 Pohožaev, S. I. 7 1999 Existence and nonexistence of solutions of nonlinear Neumann problems. Zbl 0944.35030 Pohozaev, Stanislav I.; Tesei, Alberto 4 1999 The Cauchy problem for the extended Fisher-Kolmogorov equation. Zbl 0937.35083 Peletier, L. A.; Pokhozhaev, S. I. 1 1999 The existence and nonexistence of periodic solutions to certain nonlinear hyperbolic equations. Zbl 0990.35015 Pokhozhaev, S. I. 1 1999 The absence of global positive solutions of quasilinear elliptic inequalities. Zbl 0976.35100 Mitidieri, E.; Pokhozhaev, S. I. 85 1998 Existence of positive solutions to some nonlinear Neumann problems. Zbl 0968.35049 Pokhozhaev, S. I.; Tesej, A. 6 1998 On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091 Mustonen, Vesa; Pohožaev, Stanislav 3 1998 On the reaction-diffusion electrolysis nonlinear elliptic equations. Zbl 0912.35063 Pokhozhaev, S. I. 2 1998 On the existence and nonexistence of periodic solutions to some nonlinear hyperbolic equations. Zbl 0972.35073 Pokhozhaev, S. I. 1 1998 Positive solutions for the \(p\)-Laplacian: Application of the fibrering method. Zbl 0880.35045 Drábek, Pavel; Pohozaev, Stanislav I. 231 1997 Entire solutions of semilinear elliptic equations. Zbl 0882.35003 Kuzin, I.; Pohozaev, S. 67 1997 The essentially nonlinear capacities induced by differential operators. Zbl 0963.35056 Pokhozhaev, S. I. 41 1997 The fibering method in nonlinear variational problems. Zbl 0901.35018 Pohozaev, A. I. 16 1997 On the global fibering method in nonlinear variational problems. Zbl 0940.35092 Pohozaev, S. I. 8 1997 On Maslov equations. Zbl 0852.45014 Pokhozhaev, S. I. 2 1995 A nonlinear elliptic problem of H. Amann. Zbl 0827.35038 Pokhozhaev, S. I. 1 1994 The sharp a priori estimates for some superlinear degenerate elliptic problems. Zbl 0838.35018 Pokhozhaev, Stanislav I. 1 1993 On entire radial solutions of quasilinear elliptic equations. Zbl 0865.35046 Pokhozhaev, S. I. 1 1993 On entire solutions of semilinear elliptic equations. Zbl 0821.35046 Pokhozhaev, S. 2 1992 On entire radial solutions of some quasilinear elliptic equations. Zbl 0797.35041 Pokhozhaev, S. I. 1 1992 On entire solutions of a class of quasilinear elliptic equations. Zbl 0782.35012 Pokhozhaev, S. I. 2 1991 On the asymptotics of entire radial solutions of quasilinear elliptic equations. Zbl 0793.35031 Pokhozhaev, S. I. 2 1991 On elliptic problems in \(\mathbb{R}{}^ N\) with a supercritical exponent of nonlinearity. Zbl 0746.35015 Pokhozhaev, S. I. 2 1991 On the method of fibering a solution of nonlinear boundary value problems. Zbl 0734.35036 Pokhozhaev, S. I. 30 1990 On the method of fibering a solution in nonlinear boundary value problems. Zbl 0789.35055 Pokhozhaev, S. I. 16 1990 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,972 Authors 63 Jleli, Mohamed Boussairi 61 Samet, Bessem 57 Korpusov, Maksim Olegovich 42 Kirane, Mokhtar 35 Galaktionov, Victor Aleksandrovich 34 Pokhozhaev, Stanislav I. 28 Galakhov, Evgeniĭ Igorevich 28 Wu, Tsungfang 27 Kharibegashvili, Sergei S. 27 Mitidieri, Enzo Luigi 21 D’Ambrosio, Lorenzo 21 Salieva, Olga Alekseevna 20 Filippucci, Roberta 20 Il’yasov, Yavdat Shavkatovich 20 Lu, Guozhen 20 Nguyễn Văn Hoàng 19 Kon’kov, Andrej A. 18 Dzhokhadze, Otar Mikhajlovich 18 Fino, Ahmad Z. 16 Cowan, Craig 16 Musso, Monica 16 Pistoia, Angela 16 Sun, Yuhua 15 Al-saedi, Ahmed Eid Salem 15 Farina, Alberto 15 Passaseo, Donato 14 Ahmad, Bashir 14 Álvarez-Caudevilla, Pablo 14 Chen, Caisheng 13 Panin, Aleksandr Anatol’evich 13 Quaas, Alexander 13 Véron, Laurent 13 Wei, Juncheng 13 Yang, Zuodong 12 Ghergu, Marius 12 Lam, Nguyen 12 Midodashvili, Bidzina G. 12 Nguyen Thanh Long 12 Pacella, Filomena 12 Punzo, Fabio 11 Aghajani, Asadollah 11 Aliev, Akbar B. 11 Alves, Claudianor Oliveira 11 Bidaut-Veron, Marie-Françoise 11 Da Silva, Edcarlos Domingos 11 Ishige, Kazuhiro 11 Torebek, Berikbol Tillabayuly 10 Dai, Wei 10 Gazzola, Filippo 10 Miyagaki, Olimpio Hiroshi 10 Molle, Riccardo 10 Ruzhansky, Michael V. 10 Saoudi, Kamel 10 Yang, Qiaohua 10 Yuldashev, Tursun Kamaldinovich 10 Yushkov, Egor Vladislavovich 10 Zou, Wenming 9 Clapp, Mónica 9 Deng, Shengbing 9 Do Ó, João M. 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