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

^*Corresponding author

Research output: Contribution to journal › Article › peer-review

2 Citations (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)

Original language	English
Pages (from-to)	593-609
Number of pages	17
Journal	Potential Analysis
Volume	43
Issue number	4
DOIs	https://doi.org/10.1007/s11118-015-9487-0
Publication status	Published - 2015

All Science Journal Classification (ASJC) codes

Analysis

Keywords

nonlinear eigenvalues
p-Laplace operator
variational convergence

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10.1007/s11118-015-9487-0

Cite this

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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)",

keywords = "nonlinear eigenvalues, p-Laplace operator, variational convergence, nonlinear eigenvalues, p-Laplace operator, variational convergence",

author = "Marco Degiovanni and Marco Marzocchi",

year = "2015",

doi = "10.1007/s11118-015-9487-0",

language = "English",

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T1 - On the dependence on p of the variational eigenvalues of the p-Laplace operator

AU - Degiovanni, Marco

AU - Marzocchi, Marco

PY - 2015

Y1 - 2015

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AB - 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)

KW - nonlinear eigenvalues

KW - p-Laplace operator

KW - variational convergence

KW - nonlinear eigenvalues

KW - p-Laplace operator

KW - variational convergence

UR - https://publicatt.unicatt.it/handle/10807/69589

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U2 - 10.1007/s11118-015-9487-0

DO - 10.1007/s11118-015-9487-0

M3 - Article

SN - 0926-2601

VL - 43

SP - 593

EP - 609

JO - Potential Analysis

JF - Potential Analysis

IS - 4

ER -

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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