## Pokhozhaev, Stanislav I.

Compute Distance To:
 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
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### 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)

### 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 0141.30202
Pokhozhaev, S. I.
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.
2001
Positive solutions for the $$p$$-Laplacian: Application of the fibrering method. Zbl 0880.35045
Drábek, Pavel; Pohozaev, Stanislav I.
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.
2001
Nonexistence results and estimates for some nonlinear elliptic problems. Zbl 1018.35040
Bidaut-Véron, Marie-Francoise; Pohozaev, Stanislav
2001
On a class of quasilinear hyperbolic equations. Zbl 0328.35060
Pohozaev, S. I.
1976
The absence of global positive solutions of quasilinear elliptic inequalities. Zbl 0976.35100
Mitidieri, E.; Pokhozhaev, S. I.
1998
Entire solutions of semilinear elliptic equations. Zbl 0882.35003
Kuzin, I.; Pohozaev, S.
1997
Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on $$\mathbb{R}^n$$. Zbl 0988.35095
Mitidieri, Enzo; Pohozaev, Stanislav I.
2001
Existence and blow up for higher-order semilinear parabolic equations: majorizing order-preserving operators. Zbl 1082.35079
Galaktionov, V. A.; Pohozaev, S. I.
2002
Nonexistence of positive solutions for quasilinear elliptic problems in $$\mathbb R^N$$. Zbl 1056.35507
Mitidieri, E.; Pokhozhaev, S. I.
1999
Blow-up and critical exponents for nonlinear hyperbolic equations. Zbl 1012.35058
Galaktionov, V. A.; Pohozaev, S. I.
2003
The essentially nonlinear capacities induced by differential operators. Zbl 0963.35056
Pokhozhaev, S. I.
1997
Towards a unified approach to nonexistence of solutions for a class of differential inequalities. Zbl 1115.35157
Mitidieri, Enzo; Pohozaev, Stanislav I.
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.
2004
Third-order nonlinear dispersive equations: shocks, rarefaction, and blowup waves. Zbl 1177.76183
Galaktionov, V. A.; Pokhozhaev, S. I.
2008
Blow-up results for nonlinear hyperbolic inequalities. Zbl 0965.35197
Pohozaev, Stanislav; Véron, Laurent
2000
The Dirichlet problem for the equation $$\Delta u=u^2$$. Zbl 0097.08503
Pokhozhaev, S. I.
1960
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.
2000
Solvability of nonlinear equations with odd operators. Zbl 0165.49502
Pokhozhaev, S. I.
1967
Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group. Zbl 0964.35046
Pohozaev, Stanislav; Véron, Laurent
2000
Nonexistence of local solutions to semilinear partial differential inequalities. Zbl 1064.35220
Pohozaev, Stanislav I.; Tesei, Alberto
2004
Some Liouville theorems for quasilinear elliptic inequalities. Zbl 1387.35207
Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I.
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.
2009
On the method of fibering a solution of nonlinear boundary value problems. Zbl 0734.35036
Pokhozhaev, S. I.
1990
On equations of the form (Delta u) = f(x,u,Du). Zbl 0483.35033
Pokhozhaev, S. I.
1982
Blow-up of nonnegative solutions to quasilinear parabolic inequalities. Zbl 1007.35003
Pohozaev, Stanislav I.; Tesei, Alberto
2000
Nonexistence of weak solutions for some degenerate and singular hyperbolic problems on $$\mathbb{R}_+^{n+1}$$. Zbl 1032.35138
Mitidieri, E.; Pohozaev, S. I.
2001
Critical nonlinearities in partial differential equations. Zbl 1205.35024
Pohozaev, Stanislav I.
2009
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.
2006
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.
1999
The fibering method in nonlinear variational problems. Zbl 0901.35018
Pohozaev, A. I.
1997
On equations of the form $$\Delta u=f(x,u,Du)$$. Zbl 0457.35032
Pokhozhaev, S. I.
1980
Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Zbl 1320.35002
Galaktionov, Victor A.; Mitidieri, Enzo L.; Pohozaev, Stanislav I.
2015
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.
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.
2006
Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176
Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I.
2004
Nonlinear variational problems via the fibering method. Zbl 1184.35001
Pohozaev, Stanislav I.
2008
On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0491.35020
Pokhozhaev, S. I.
1982
Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II. Zbl 1244.35019
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
2011
On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation. Zbl 1232.35147
Pokhozhaev, S. I.
2011
Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms. Zbl 0976.35025
Moschini, Luisa; Pohozaev, Stanislav I.; Tesei, Alberto
2000
On an approach to nonlinear equations. Zbl 0456.47053
Pokhozhaev, S. I.
1979
On the global fibering method in nonlinear variational problems. Zbl 0940.35092
Pohozaev, S. I.
1997
The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119
Kirane, M.; Nabana, E.; Pokhozhaev, S. I.
2002
On blow-up of solutions of the Kuramoto-Sivashinsky equation. Zbl 1161.35491
Pokhozhaev, S. I.
2008
The fibering method and its applications to nonlinear boundary value problem. Zbl 0964.58016
Pohožaev, S. I.
1999
Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion. Zbl 1298.35020
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
2014
Multiple positive solutions of some quasilinear Neumann problems. Zbl 1063.35065
Pohozaev, Stanislav I.; Véron, Laurent
2000
Some generalizations of the Bernstein theorem. Zbl 1274.35120
Mitidieri, E.; Pokhozhaev, S. I.
2002
On similarity solutions and blow-up spectra for a semilinear wave equation. Zbl 1039.35066
Galaktionov, V. A.; Pohozaev, S. I.
2003
On the eigenfunctions of quasilinear elliptic problems. Zbl 0217.13203
Pokhozhaev, S. I.
1971
Concerning an equation in the theory of combustion. Zbl 1233.35050
Pokhozhaev, S. I.
2010
Blow-up of smooth solutions of the Korteweg-de Vries equation. Zbl 1246.35182
Pohozaev, Stanislav I.
2012
Lifespan estimates for solutions of some evolution inequalities. Zbl 1184.35075
Mitidieri, E.; Pokhozhaev, S. I.
2009
Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. Zbl 1152.35101
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
2008
On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 1309.35115
Pokhozhaev, S. I.
2012
Critical exponents for the absence of solutions for systems of quasilinear parabolic inequalities. Zbl 0994.35026
Pokhozhaev, S. I.; Tesei, A.
2001
Liouville theorems for some classes of nonlinear nonlocal problems. Zbl 1123.35087
Mitidieri, E.; Pokhozhaev, S. I.
2005
Nonexistence of global solutions of nonlinear evolution equations. Zbl 1277.35076
Pokhozhaev, S. I.
2013
On the absence of global solutions of the Korteweg-de Vries equation. Zbl 1276.35134
Pohozaev, S. I.
2013
Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations. Zbl 1179.35074
Galaktionov, Victor; Mitidieri, Enzo; Pokhozhaev, Stanislav
2009
On the singular solutions of the Korteweg-de Vries equation. Zbl 1231.35211
Pokhozhaev, S. I.
2010
Existence of positive solutions to some nonlinear Neumann problems. Zbl 0968.35049
Pokhozhaev, S. I.; Tesej, A.
1998
Multidimensional scalar conservation laws. Zbl 1049.35130
Pokhozhaev, S. I.
2003
A general approach to the theory of nonexistence of global solutions to nonlinear partial differential equations and inequalities. Zbl 1125.35348
Pokhozhaev, S. I.
2002
Instantaneous blow-up of solutions to a class of hyperbolic inequalities. Zbl 1024.35081
Pohozaev, Stanislav I.; Tesei, Alberto
2002
The Kirchhoff quasilinear hyperbolic equation. Zbl 0584.35073
Pokhozhaev, S. I.
1985
On stationary solutions of the Vlasov-Poisson equations. Zbl 1204.35163
Pokhozhaev, S. I.
2010
On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091
Mustonen, Vesa; Pohožaev, Stanislav
1998
On nonlinear operators having weakly closed range, and quasilinear elliptic equations. Zbl 0201.46501
Pokhozhaev, S. I.
1969
Local estimates and Liouville theorems for a class of quasilinear inequalities. Zbl 1159.35342
Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I.
2008
Weighted identities for solutions of generalized Korteweg-de Vries equations. Zbl 1231.35212
Pokhozhaev, S. I.
2011
Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. Zbl 1146.35382
Mitidieri, E.; Pokhozhaev, S. I.
2002
On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0511.35014
Pokhozhaev, S. I.
1983
Capacity induced by a nonlinear operator and applications. Zbl 1157.35305
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
2008
On the nonexistence of global solutions of the Hamilton-Jacobi equation. Zbl 1194.35103
Pohozaev, S. I.
2008
On a class of initial-boundary value problems for equations of Korteweg-de Vries type. Zbl 1246.35183
Pokhozhaev, S. I.
2012
Existence and nonexistence of solutions of nonlinear Neumann problems. Zbl 0944.35030
Pohozaev, Stanislav I.; Tesei, Alberto
1999
Normal solubility of nonlinear equations in convex uniform Banach spaces. Zbl 0191.14803
Pohozaev, S. I.
1969
On a constructive method of the calculus of variations. Zbl 0717.58012
Pokhozhaev, S. I.
1988
On elliptic problems in $$\mathbb{R}{}^ N$$ with a supercritical exponent of nonlinearity. Zbl 0746.35015
Pokhozhaev, S. I.
1991
On a class of singular solutions to the Korteweg-de Vries equation. Zbl 1217.35165
Pohozaev, S. I.
2010
On a class of nonlinear Dirichlet problems with first order terms. Zbl 1098.35555
Moschini, L.; Tesei, A.; Pohozaev, S. I.
2001
Riemann quasi-invariants. Zbl 1232.35095
Pokhozhaev, S. I.
2011
On the dependence of the critical exponent of the nonlinear heat equation on the initial function. Zbl 1227.35054
Pokhozhaev, S. I.
2011
On entire solutions of semilinear elliptic equations. Zbl 0821.35046
Pokhozhaev, S.
1992
On the reaction-diffusion electrolysis nonlinear elliptic equations. Zbl 0912.35063
Pokhozhaev, S. I.
1998
On a priori estimates and gradient catastrophes of smooth solutions to hyperbolic systems of conservation laws. Zbl 1077.35093
Pokhozhaev, S. I.
2003
The general blowup for nonlinear PDE’s. Zbl 1064.35219
Pohozaev, Stanislav
2003
Global solvability of the Kuramoto-Sivashinsky equation with bounded initial data. Zbl 1178.35336
Pokhozhaev, S. I.
2009
Convergence in gradient systems with branching of equilibria. Zbl 1229.35078
Galaktionov, V. A.; Pohozaev, S. I.; Shishkov, A. E.
2007
On the asymptotics of entire radial solutions of quasilinear elliptic equations. Zbl 0793.35031
Pokhozhaev, S. I.
1991
On Maslov equations. Zbl 0852.45014
Pokhozhaev, S. I.
1995
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.
2013
Blowup for nonlinear initial-boundary value problems. Zbl 1327.35163
Galaktionov, V. A.; Pohozaev, S. I.
2007
The set of critical values of a functional. Zbl 0174.46103
Pokhozhaev, S. I.
1969
Normal solvability of nonlinear equations. Zbl 0181.42803
Pohozaev, S. I.
1969
On the blow-up of solutions to nonlinear initial-boundary value problems. Zbl 1233.35071
Pohozaev, S. I.
2008
On weakly nonlinear hyperbolic systems. Zbl 0223.35064
Pohozhaev, S. I.
1970
Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Zbl 1320.35002
Galaktionov, Victor A.; Mitidieri, Enzo L.; Pohozaev, Stanislav I.
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.
2014
Nonexistence of global solutions of nonlinear evolution equations. Zbl 1277.35076
Pokhozhaev, S. I.
2013
On the absence of global solutions of the Korteweg-de Vries equation. Zbl 1276.35134
Pohozaev, S. I.
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&rsquo;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.
2013
Critical nonlinearities in partial differential equations. Zbl 1320.35099
Pokhozhaev, S. I.
2013
Blow-up of smooth solutions of the Korteweg-de Vries equation. Zbl 1246.35182
Pohozaev, Stanislav I.
2012
On the nonexistence of global solutions of the Cauchy problem for the Korteweg-de Vries equation. Zbl 1309.35115
Pokhozhaev, S. I.
2012
On a class of initial-boundary value problems for equations of Korteweg-de Vries type. Zbl 1246.35183
Pokhozhaev, S. I.
2012
Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II. Zbl 1244.35019
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
2011
On the nonexistence of global solutions of some initial-boundary value problems for the Korteweg-de Vries equation. Zbl 1232.35147
Pokhozhaev, S. I.
2011
Weighted identities for solutions of generalized Korteweg-de Vries equations. Zbl 1231.35212
Pokhozhaev, S. I.
2011
Riemann quasi-invariants. Zbl 1232.35095
Pokhozhaev, S. I.
2011
On the dependence of the critical exponent of the nonlinear heat equation on the initial function. Zbl 1227.35054
Pokhozhaev, S. I.
2011
On the existence and nonexistence of solutions of some quasilinear hyperbolic equations. Zbl 1243.35126
Pokhozhaev, S. I.
2011
Concerning an equation in the theory of combustion. Zbl 1233.35050
Pokhozhaev, S. I.
2010
On the singular solutions of the Korteweg-de Vries equation. Zbl 1231.35211
Pokhozhaev, S. I.
2010
On stationary solutions of the Vlasov-Poisson equations. Zbl 1204.35163
Pokhozhaev, S. I.
2010
On a class of singular solutions to the Korteweg-de Vries equation. Zbl 1217.35165
Pohozaev, S. I.
2010
Blow-up of sign-changing solutions to quasilinear parabolic equations. Zbl 1202.35039
Pohozaev, S. I.
2010
Some Liouville theorems for quasilinear elliptic inequalities. Zbl 1387.35207
Caristi, G.; Mitidieri, E.; Pokhozhaev, S. I.
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.
2009
Critical nonlinearities in partial differential equations. Zbl 1205.35024
Pohozaev, Stanislav I.
2009
Lifespan estimates for solutions of some evolution inequalities. Zbl 1184.35075
Mitidieri, E.; Pokhozhaev, S. I.
2009
Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations. Zbl 1179.35074
Galaktionov, Victor; Mitidieri, Enzo; Pokhozhaev, Stanislav
2009
Global solvability of the Kuramoto-Sivashinsky equation with bounded initial data. Zbl 1178.35336
Pokhozhaev, S. I.
2009
Third-order nonlinear dispersive equations: shocks, rarefaction, and blowup waves. Zbl 1177.76183
Galaktionov, V. A.; Pokhozhaev, S. I.
2008
Nonlinear variational problems via the fibering method. Zbl 1184.35001
Pohozaev, Stanislav I.
2008
On blow-up of solutions of the Kuramoto-Sivashinsky equation. Zbl 1161.35491
Pokhozhaev, S. I.
2008
Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation. Zbl 1152.35101
Galaktionov, V. A.; Mitidieri, E.; Pohozaev, S. I.
2008
Local estimates and Liouville theorems for a class of quasilinear inequalities. Zbl 1159.35342
Caristi, Gabriella; Mitidieri, Enzo; Pohozaev, Stanislav I.
2008
Capacity induced by a nonlinear operator and applications. Zbl 1157.35305
Galaktionov, Victor A.; Mitidieri, Enzo; Pohozaev, Stanislav I.
2008
On the nonexistence of global solutions of the Hamilton-Jacobi equation. Zbl 1194.35103
Pohozaev, S. I.
2008
On the blow-up of solutions to nonlinear initial-boundary value problems. Zbl 1233.35071
Pohozaev, S. I.
2008
Convergence in gradient systems with branching of equilibria. Zbl 1229.35078
Galaktionov, V. A.; Pohozaev, S. I.; Shishkov, A. E.
2007
Blowup for nonlinear initial-boundary value problems. Zbl 1327.35163
Galaktionov, V. A.; Pohozaev, S. I.
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.
2006
Representation formulae and inequalities for solutions of a class of second order partial differential equations. Zbl 1081.35014
D&rsquo;Ambrosio, Lorenzo; Mitidieri, Enzo; Pohozaev, Stanislav I.
2006
Liouville theorems for some classes of nonlinear nonlocal problems. Zbl 1123.35087
Mitidieri, E.; Pokhozhaev, S. I.
2005
Towards a unified approach to nonexistence of solutions for a class of differential inequalities. Zbl 1115.35157
Mitidieri, Enzo; Pohozaev, Stanislav I.
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.
2004
Nonexistence of local solutions to semilinear partial differential inequalities. Zbl 1064.35220
Pohozaev, Stanislav I.; Tesei, Alberto
2004
Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176
Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I.
2004
Blow-up and critical exponents for nonlinear hyperbolic equations. Zbl 1012.35058
Galaktionov, V. A.; Pohozaev, S. I.
2003
On similarity solutions and blow-up spectra for a semilinear wave equation. Zbl 1039.35066
Galaktionov, V. A.; Pohozaev, S. I.
2003
Multidimensional scalar conservation laws. Zbl 1049.35130
Pokhozhaev, S. I.
2003
On a priori estimates and gradient catastrophes of smooth solutions to hyperbolic systems of conservation laws. Zbl 1077.35093
Pokhozhaev, S. I.
2003
The general blowup for nonlinear PDE’s. Zbl 1064.35219
Pohozaev, Stanislav
2003
Existence and blow up for higher-order semilinear parabolic equations: majorizing order-preserving operators. Zbl 1082.35079
Galaktionov, V. A.; Pohozaev, S. I.
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.
2002
The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119
Kirane, M.; Nabana, E.; Pokhozhaev, S. I.
2002
Some generalizations of the Bernstein theorem. Zbl 1274.35120
Mitidieri, E.; Pokhozhaev, S. I.
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.
2002
Instantaneous blow-up of solutions to a class of hyperbolic inequalities. Zbl 1024.35081
Pohozaev, Stanislav I.; Tesei, Alberto
2002
Fujita-type theorems for quasilinear parabolic inequalities with nonlinear gradient. Zbl 1146.35382
Mitidieri, E.; Pokhozhaev, S. I.
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.
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.
2001
Nonexistence results and estimates for some nonlinear elliptic problems. Zbl 1018.35040
Bidaut-Véron, Marie-Francoise; Pohozaev, Stanislav
2001
Nonexistence of weak solutions for some degenerate elliptic and parabolic problems on $$\mathbb{R}^n$$. Zbl 0988.35095
Mitidieri, Enzo; Pohozaev, Stanislav I.
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.
2001
Critical exponents for the absence of solutions for systems of quasilinear parabolic inequalities. Zbl 0994.35026
Pokhozhaev, S. I.; Tesei, A.
2001
On a class of nonlinear Dirichlet problems with first order terms. Zbl 1098.35555
Moschini, L.; Tesei, A.; Pohozaev, S. I.
2001
Blow-up results for nonlinear hyperbolic inequalities. Zbl 0965.35197
Pohozaev, Stanislav; Véron, Laurent
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.
2000
Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group. Zbl 0964.35046
Pohozaev, Stanislav; Véron, Laurent
2000
Blow-up of nonnegative solutions to quasilinear parabolic inequalities. Zbl 1007.35003
Pohozaev, Stanislav I.; Tesei, Alberto
2000
Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms. Zbl 0976.35025
Moschini, Luisa; Pohozaev, Stanislav I.; Tesei, Alberto
2000
Multiple positive solutions of some quasilinear Neumann problems. Zbl 1063.35065
Pohozaev, Stanislav I.; Véron, Laurent
2000
Nonexistence of positive solutions for quasilinear elliptic problems in $$\mathbb R^N$$. Zbl 1056.35507
Mitidieri, E.; Pokhozhaev, S. I.
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.
1999
The fibering method and its applications to nonlinear boundary value problem. Zbl 0964.58016
Pohožaev, S. I.
1999
Existence and nonexistence of solutions of nonlinear Neumann problems. Zbl 0944.35030
Pohozaev, Stanislav I.; Tesei, Alberto
1999
The Cauchy problem for the extended Fisher-Kolmogorov equation. Zbl 0937.35083
Peletier, L. A.; Pokhozhaev, S. I.
1999
The existence and nonexistence of periodic solutions to certain nonlinear hyperbolic equations. Zbl 0990.35015
Pokhozhaev, S. I.
1999
The absence of global positive solutions of quasilinear elliptic inequalities. Zbl 0976.35100
Mitidieri, E.; Pokhozhaev, S. I.
1998
Existence of positive solutions to some nonlinear Neumann problems. Zbl 0968.35049
Pokhozhaev, S. I.; Tesej, A.
1998
On the nonexistence of periodic radial solutions for semilinear wave equations in unbounded domain. Zbl 1004.35091
Mustonen, Vesa; Pohožaev, Stanislav
1998
On the reaction-diffusion electrolysis nonlinear elliptic equations. Zbl 0912.35063
Pokhozhaev, S. I.
1998
On the existence and nonexistence of periodic solutions to some nonlinear hyperbolic equations. Zbl 0972.35073
Pokhozhaev, S. I.
1998
Positive solutions for the $$p$$-Laplacian: Application of the fibrering method. Zbl 0880.35045
Drábek, Pavel; Pohozaev, Stanislav I.
1997
Entire solutions of semilinear elliptic equations. Zbl 0882.35003
Kuzin, I.; Pohozaev, S.
1997
The essentially nonlinear capacities induced by differential operators. Zbl 0963.35056
Pokhozhaev, S. I.
1997
The fibering method in nonlinear variational problems. Zbl 0901.35018
Pohozaev, A. I.
1997
On the global fibering method in nonlinear variational problems. Zbl 0940.35092
Pohozaev, S. I.
1997
On Maslov equations. Zbl 0852.45014
Pokhozhaev, S. I.
1995
A nonlinear elliptic problem of H. Amann. Zbl 0827.35038
Pokhozhaev, S. I.
1994
On entire radial solutions of quasilinear elliptic equations. Zbl 0865.35046
Pokhozhaev, S. I.
1993
On entire solutions of semilinear elliptic equations. Zbl 0821.35046
Pokhozhaev, S.
1992
On entire radial solutions of some quasilinear elliptic equations. Zbl 0797.35041
Pokhozhaev, S. I.
1992
On elliptic problems in $$\mathbb{R}{}^ N$$ with a supercritical exponent of nonlinearity. Zbl 0746.35015
Pokhozhaev, S. I.
1991
On the asymptotics of entire radial solutions of quasilinear elliptic equations. Zbl 0793.35031
Pokhozhaev, S. I.
1991
On entire solutions of a class of quasilinear elliptic equations. Zbl 0782.35012
Pokhozhaev, S. I.
1991
On the method of fibering a solution of nonlinear boundary value problems. Zbl 0734.35036
Pokhozhaev, S. I.
1990
On a constructive method of the calculus of variations. Zbl 0717.58012
Pokhozhaev, S. I.
1988
The Kirchhoff quasilinear hyperbolic equation. Zbl 0584.35073
Pokhozhaev, S. I.
1985
On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0511.35014
Pokhozhaev, S. I.
1983
A priori bounds of solutions of quasilinear elliptic equations of arbitrary order. Zbl 0523.35049
Pokhozhaev, S. I.
1983
On equations of the form (Delta u) = f(x,u,Du). Zbl 0483.35033
Pokhozhaev, S. I.
1982
On the solvability of quasilinear elliptic equations of arbitrary order. Zbl 0491.35020
Pokhozhaev, S. I.
1982
On quasilinear elliptic equations of high order. Zbl 0456.35035
Pokhozhaev, S. I.
1981
...and 13 more Documents
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### 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
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### 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. Analyse Non Linéaire 31 Journal of Mathematical Sciences (New York) 30 Journal of Functional Analysis 28 Communications on Pure and Applied Analysis 25 Computers & Mathematics with Applications 23 Discrete and Continuous Dynamical Systems 22 Applied Mathematics Letters 19 Theoretical and Mathematical Physics 19 Advances in Nonlinear Analysis 18 Boundary Value Problems 16 Journal of Mathematical Physics 16 NoDEA. Nonlinear Differential Equations and Applications 16 Proceedings of the Steklov Institute of Mathematics 14 Archive for Rational Mechanics and Analysis 14 Applied Mathematics and Computation 14 Communications in Contemporary Mathematics 14 Nonlinear Analysis. Real World Applications 14 Complex Variables and Elliptic Equations 13 Applicable Analysis 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Transactions of the American Mathematical Society 13 Advanced Nonlinear Studies 12 Mathematical Methods in the Applied Sciences 12 Computational Mathematics and Mathematical Physics 11 Mathematische Annalen 11 Proceedings of the American Mathematical Society 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Communications in Partial Differential Equations 10 Mediterranean Journal of Mathematics 9 Manuscripta Mathematica 9 Acta Applicandae Mathematicae 9 Izvestiya: Mathematics 9 Abstract and Applied Analysis 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Evolution Equations 8 Journal of Function Spaces 7 Communications in Mathematical Physics 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Siberian Mathematical Journal 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Doklady Mathematics 7 Milan Journal of Mathematics 6 Duke Mathematical Journal 6 Monatshefte für Mathematik 6 Electronic Journal of Differential Equations (EJDE) 6 Discrete and Continuous Dynamical Systems. Series S 5 Nonlinearity 5 Proceedings of the Japan Academy. Series A 5 Journal of Dynamics and Differential Equations 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Topological Methods in Nonlinear Analysis 5 Analysis and Mathematical Physics 4 Journal d’Analyse Mathématique 4 Advances in Mathematics 4 Quarterly of Applied Mathematics 4 Studies in Applied Mathematics 4 Physica D 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Potential Analysis 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Journal of Inequalities and Applications 4 Fractional Calculus & Applied Analysis 4 Lobachevskii Journal of Mathematics 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Advances in Difference Equations 4 Science China. Mathematics 4 Eurasian Mathematical Journal 3 Rocky Mountain Journal of Mathematics 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Computational and Applied Mathematics 3 Journal of Soviet Mathematics 3 Mathematische Nachrichten 3 Numerische Mathematik 3 Forum Mathematicum 3 Russian Mathematics 3 Bulletin des Sciences Mathématiques 3 The Journal of Fourier Analysis and Applications 3 Revista Matemática Complutense 3 Journal of the European Mathematical Society (JEMS) 3 Journal of Nonlinear Mathematical Physics 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Differential Equations 3 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Arabian Journal of Mathematics 3 Journal of Elliptic and Parabolic Equations 3 SN Partial Differential Equations and Applications 2 Journal of Engineering Mathematics 2 Lithuanian Mathematical Journal 2 Mathematics of Computation 2 Functional Analysis and its Applications 2 Mathematische Zeitschrift 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Zeitschrift für Analysis und ihre Anwendungen ...and 135 more Serials
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### 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)

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