Compact embeddings and indefinite semilinear elliptic problems

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dc.creatorSchneider, Matthias
dc.date2002-06-07
dc.date.accessioned2026-07-07T04:48:57Z
dc.date.available2026-07-07T04:48:57Z
dc.descriptionOur purpose is to find positive solutions $u \in D^{1,2}(\rz^N)$ of the semilinear elliptic problem $-\laplace u = h(x) u^{p-1}$ for $2<p$. The function $h$ may have an indefinite sign. Key ingredients are a $h$-dependent concentration-compactness Lemma and a characterization of compact embeddings of $D^{1,2}(\rz^N)$ into weighted Lebesgue spaces.
dc.identifierhttps://arxiv.org/abs/math/0206069
dc.identifierhttp://arxiv.org/abs/math/0206069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64247
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject35J65, 35D05
dc.titleCompact embeddings and indefinite semilinear elliptic problems
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