Concentration-compactness principle for mountain pass problems

Name: Concentration-compactness principle for mountain pass problems
Creator: Tintarev, Kyril
Keywords: Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, 35J20, 35J60, 49J35, FOS: Mathematics, 0101 mathematics, 01 natural sciences, Analysis of PDEs (math.AP), Functional Analysis (math.FA)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2005Embargo end date: 01 Jan 2005Publisher:arXiv

Authors: Tintarev, Kyril;

doi: 10.48550/arxiv.math/0505454

arXiv: http://arxiv.org/abs/math/0505454

Concentration-compactness principle for mountain pass problems

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Abstract

In the paper we show that critical sequences associated with the mountain pass level for semilinear elliptic problems on $\R^N$ converge when the non-linearity is subcritical, superlinear and satisfies the penalty condition $F_\infty(s)

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Department of Mathematics

Keywords

Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, 35J20, 35J60, 49J35, FOS: Mathematics, Analysis of PDEs (math.AP), Functional Analysis (math.FA)

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