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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2005, Volume 248, Pages 164–184 (Mi tm129)  
This article is cited in 15 scientific papers (total in 16 papers)

Liouville Theorems for Some Classes of Nonlinear Nonlocal Problems

E. Mitidieria, S. I. Pokhozhaevb

a University of Trieste
b Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (255 kB) Citations (16)
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Abstract: This paper is devoted to the further development of the method of nonlinear capacity in the blow-up theory for nonlinear problems. In the framework of this approach, a new class of nonlinear problems with nonlocal nonlinearities is considered, including both stationary and evolution problems. Blow-up criteria depending on the structure of the nonlinear operator and the data of the problem under study are obtained.
Received in October 2004
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. Mitidieri, S. I. Pokhozhaev, “Liouville Theorems for Some Classes of Nonlinear Nonlocal Problems”, Studies on function theory and differential equations, Collected papers. Dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 248, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 164–184; Proc. Steklov Inst. Math., 248 (2005), 158–178
Citation in format AMSBIB
\Bibitem{MitPok05}
\by E.~Mitidieri, S.~I.~Pokhozhaev
\paper Liouville Theorems for Some Classes of Nonlinear Nonlocal Problems
\inbook Studies on function theory and differential equations
\bookinfo Collected papers. Dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2005
\vol 248
\pages 164--184
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm129}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2165926}
\zmath{https://zbmath.org/?q=an:1123.35087}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2005
\vol 248
\pages 158--178
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    • This publication is cited in the following 16 articles:
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