Concentration-compactness principle for mountain pass problems

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dc.creatorTintarev, Kyril
dc.date2005-05-22
dc.date.accessioned2026-07-07T05:20:08Z
dc.date.available2026-07-07T05:20:08Z
dc.descriptionIn 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 $F_\infty(s)<F(x,s)$. The proof suggests a concentration compactness framework for minimax problems, similar to that of P.-L.Lions for constrained minima.
dc.identifierhttps://arxiv.org/abs/math/0505454
dc.identifierhttp://arxiv.org/abs/math/0505454
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75269
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject35J20, 35J60, 49J35
dc.titleConcentration-compactness principle for mountain pass problems
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