A compactness result for quasilinear elliptic equations by mountain pass techniques

A class of solutions to some quasilinear elliptic equations is considered. Some estimates due to some Mountain Pass techniques allow to obtain a compactness result for this class of solutions, with a suitable continuous dependence on the data.

Bibliographic Details
Main Authors: Mario Girardi, Michele Matzeu
Format: Article
Language:English
Published: Sapienza Università Editrice 2009-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2009(1)/83-95.pdf
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author Mario Girardi
Michele Matzeu
author_facet Mario Girardi
Michele Matzeu
author_sort Mario Girardi
collection DOAJ
description A class of solutions to some quasilinear elliptic equations is considered. Some estimates due to some Mountain Pass techniques allow to obtain a compactness result for this class of solutions, with a suitable continuous dependence on the data.
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2532-3350
language English
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spelling doaj.art-12c87aaf886d4be781dcf6bfa44c1a792022-12-21T22:23:23ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502009-01-012918395A compactness result for quasilinear elliptic equations by mountain pass techniquesMario Girardi0Michele Matzeu1Università degli Studi di Roma TreUniversità Roma “Tor Vergata”A class of solutions to some quasilinear elliptic equations is considered. Some estimates due to some Mountain Pass techniques allow to obtain a compactness result for this class of solutions, with a suitable continuous dependence on the data.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2009(1)/83-95.pdfquasilinear elliptic equationsmountain pass techniquesiteration methodscontinuous dependence of the solutions on the data
spellingShingle Mario Girardi
Michele Matzeu
A compactness result for quasilinear elliptic equations by mountain pass techniques
Rendiconti di Matematica e delle Sue Applicazioni
quasilinear elliptic equations
mountain pass techniques
iteration methods
continuous dependence of the solutions on the data
title A compactness result for quasilinear elliptic equations by mountain pass techniques
title_full A compactness result for quasilinear elliptic equations by mountain pass techniques
title_fullStr A compactness result for quasilinear elliptic equations by mountain pass techniques
title_full_unstemmed A compactness result for quasilinear elliptic equations by mountain pass techniques
title_short A compactness result for quasilinear elliptic equations by mountain pass techniques
title_sort compactness result for quasilinear elliptic equations by mountain pass techniques
topic quasilinear elliptic equations
mountain pass techniques
iteration methods
continuous dependence of the solutions on the data
url https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2009(1)/83-95.pdf
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AT michelematzeu compactnessresultforquasilinearellipticequationsbymountainpasstechniques