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

Risultato della ricerca: Contributo in rivista › Articolo in rivista › 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	English
pagine (da-a)	593-609
Numero di pagine	17
Rivista	Potential Analysis
Volume	43
DOI	https://doi.org/10.1007/s11118-015-9487-0
Stato di pubblicazione	Pubblicato - 2015

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), 199–218 1993)",

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AU - Degiovanni, Marco

AU - Marzocchi, Marco

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KW - nonlinear eigenvalues

KW - p-Laplace operator

KW - variational convergence

KW - nonlinear eigenvalues

KW - p-Laplace operator

KW - variational convergence

UR - http://hdl.handle.net/10807/69589

UR - http://link.springer.com/journal/11118

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ER -

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

Abstract

Keywords

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