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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 119–129 (Mi tm589)  
This article is cited in 7 scientific papers (total in 7 papers)

On Differential Inequalities with Point Singularities on the Boundary

E. I. Galakhov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (194 kB) Citations (7)
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Abstract: We prove the nonexistence of solutions for some nonlinear ordinary differential equations and inequalities, for quasilinear partial differential equations and inequalities in bounded domains with singular points on the boundary, and for systems of such equations and inequalities. The proofs are based on the method of nonlinear capacity. We also give examples demonstrating that the conditions obtained are sharp in the class of problems under consideration.
Received in June 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 260, Pages 112–122
DOI: https://doi.org/10.1134/S0081543808010082
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: E. I. Galakhov, “On Differential Inequalities with Point Singularities on the Boundary”, Function theory and nonlinear partial differential equations, Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 260, MAIK Nauka/Interperiodica, Moscow, 2008, 119–129; Proc. Steklov Inst. Math., 260 (2008), 112–122
Citation in format AMSBIB
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\paper On Differential Inequalities with Point Singularities on the Boundary
\inbook Function theory and nonlinear partial differential equations
\bookinfo Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday
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\vol 260
\pages 119--129
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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