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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 97–118
(Mi tm588)
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This article is cited in 35 scientific papers (total in 35 papers)
Liouville Theorems for Some Nonlinear Inequalities
G. Caristia, L. D'Ambrosiob, E. Mitidieria a Department of Mathematics and Informatics, University of Trieste
b Department of Mathematics, University of Bari
Abstract:
We prove various Liouville theorems for integral and differential inequalities on the whole $\mathbb R^N$. The main tools we use throughout this paper are representation formulae for linear inequalities, the nonlinear capacity method and the weak form of Harnack's inequality.
Received in May 2007
Citation:
G. Caristi, L. D'Ambrosio, E. Mitidieri, “Liouville Theorems for Some Nonlinear Inequalities”, 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, 97–118; Proc. Steklov Inst. Math., 260 (2008), 90–111
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https://www.mathnet.ru/eng/tm588 https://www.mathnet.ru/eng/tm/v260/p97
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Abstract page: | 347 | Full-text PDF : | 79 | References: | 63 | First page: | 8 |
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