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 Tr. Mat. Inst. Steklova, 2002, Volume 236, Pages 285–297 (Mi tm298)

A General Approach to the Theory of Nonexistence of Global Solutions to Nonlinear Partial Differential Equations and Inequalities

S. I. Pokhozhaev

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: A number of statements on the nonexistence of solutions to differential inequalities are proved with the use of the concept (introduced by the author) of nonlinear capacity induced by a differential operator. The results obtained jointly with E. Mitidieri, A. Tesei, and L. Veron are presented.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2002, 236, 273–284

Bibliographic databases:

Document Type: Article
UDC: 517.9
Received in May 2001

Citation: S. I. Pokhozhaev, “A General Approach to the Theory of Nonexistence of Global Solutions to Nonlinear Partial Differential Equations and Inequalities”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Tr. Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 285–297; Proc. Steklov Inst. Math., 236 (2002), 273–284

Citation in format AMSBIB
\Bibitem{Pok02} \by S.~I.~Pokhozhaev \paper A~General Approach to the Theory of Nonexistence of Global Solutions to Nonlinear Partial Differential Equations and Inequalities \inbook Differential equations and dynamical systems \bookinfo Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko \serial Tr. Mat. Inst. Steklova \yr 2002 \vol 236 \pages 285--297 \publ Nauka, MAIK «Nauka/Inteperiodika» \publaddr M. \mathnet{http://mi.mathnet.ru/tm298} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1931028} \zmath{https://zbmath.org/?q=an:1125.35348} \transl \jour Proc. Steklov Inst. Math. \yr 2002 \vol 236 \pages 273--284 

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5. Li X., “Nonexistence of Solutions For Singular Nonlinear Ordinary Inequalities”, Electron. J. Qual. Theory Differ., 2015, no. 67
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7. Li X., “Non-existence of solutions for nonlinear differential inequalities with singularities on the boundary”, Complex Var. Elliptic Equ., 62:6 (2017), 748–759
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