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The pseudo- p-Laplace eigenvalue problem and viscosity solutions as p → ∞
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http://hub.abes.fr/edp/periodical/cocv/2004/volume_10/issue_1/w
Subject
concavity
convex rearrangement
minimal Lipschitz extension
viscosity solution
Dependence of solutions on initial and boundary data, parameters
Estimation of eigenvalues, upper and lower bounds
Nonlinear eigenvalue problems, nonlinear spectral theory
http://msc2010.org/resources/MSC/2010/49R50
anisotropic
Eigenvalue
pseudo-Laplace
symmetry
Title
The pseudo- p-Laplace eigenvalue problem and viscosity solutions as p → ∞
Date
2004-01-01
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has manifestation of work
http://hub.abes.fr/edp/periodical/cocv/2004/volume_10/issue_1/cocv02293/m/web
http://hub.abes.fr/edp/periodical/cocv/2004/volume_10/issue_1/cocv02293/m/print
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http://hub.abes.fr/edp/periodical/cocv/2004/volume_10/issue_1/cocv02293/authorship/2
http://hub.abes.fr/edp/periodical/cocv/2004/volume_10/issue_1/cocv02293/authorship/1
Author
Kawohl, Bernd
Belloni, Marino
Abstract
We consider the pseudo- p-Laplacian, an anisotropic version of the p-Laplacian operator for $pot=2$. We study relevant properties of its first eigenfunction for finite p and the limit problem as p → ∞.
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cocv02293
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2004-01-01
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© EDP Sciences, SMAI, 2004
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ESAIM: Control, Optimisation and Calculus of Variations
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