Equations of p-Laplacian Type in Unbounded Domains

Equations of p-Laplacian Type in Unbounded Domains

This work is devoted to study the existence of solutions to equations of the p Laplacian type in unbounded domains. We prove the existence of at least one solution, and under further assumptions, the existence of infinitely many solutions. We apply the mountain pass theorem in weighted Sobolev space...

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Veröffentlicht in:Advanced nonlinear studies 2002-08, Vol.2 (3), p.237-250
Hauptverfasser: De Nápoli, Pablo L., Mariani, M. Cristina
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Sprache:eng
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mountain pass lemma
plaplacian
weighted Sobolev spaces
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container_title Advanced nonlinear studies
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creator De Nápoli, Pablo L.
Mariani, M. Cristina
description This work is devoted to study the existence of solutions to equations of the p Laplacian type in unbounded domains. We prove the existence of at least one solution, and under further assumptions, the existence of infinitely many solutions. We apply the mountain pass theorem in weighted Sobolev spaces.
doi_str_mv 10.1515/ans-2002-0302
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source Alma/SFX Local Collection; Walter De Gruyter: Open Access Journals
subjects mountain pass lemma
plaplacian
weighted Sobolev spaces
title Equations of p-Laplacian Type in Unbounded Domains
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