On the dependence on p of the variational eigenvalues of the p-Laplace operator

Marco Degiovanni; Marco Marzocchi

doi:10.1007/s11118-015-9487-0

On the dependence on p of the variational eigenvalues of the p-Laplace operator

Marco Degiovanni^*
, Marco Marzocchi

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo › peer review

2 Citazioni (Scopus)

Abstract

We study the behavior of the variational eigenvalues of the p-Laplace operator, with homogeneous Dirichlet boundary condition, when p is varying. After introducing an auxiliary problem, we characterize the continuity answering, in particular, a question raised in Lindqvist (Potential Anal. 2(3), 199–218 1993)

Lingua originale	Inglese
pagine (da-a)	593-609
Numero di pagine	17
Rivista	Potential Analysis
Volume	43
Numero di pubblicazione	4
DOI	https://doi.org/10.1007/s11118-015-9487-0
Stato di pubblicazione	Pubblicato - 2015

All Science Journal Classification (ASJC) codes

Analisi

Keywords

nonlinear eigenvalues
p-Laplace operator
variational convergence

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10.1007/s11118-015-9487-0

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abstract = "We study the behavior of the variational eigenvalues of the p-Laplace operator, with homogeneous Dirichlet boundary condition, when p is varying. After introducing an auxiliary problem, we characterize the continuity answering, in particular, a question raised in Lindqvist (Potential Anal. 2(3), 199{\textendash}218 1993)",

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KW - p-Laplace operator

KW - variational convergence

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KW - variational convergence

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On the dependence on p of the variational eigenvalues of the p-Laplace operator

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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