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The pseudo-p-Laplace eigenvalue problem and viscosity solutions as p → ∞

Published online by Cambridge University Press:  15 February 2004

Marino Belloni  and
Bernd Kawohl
Marino Belloni
Affiliation:
Dip. di Matematica, Universita di Parma, Via d'Azeglio 85, 43100 Parma, Italy; belloni@math.unipr.it.
Bernd Kawohl
Affiliation:
Mathematisches Institut, Universität zu Köln, 50923 Köln, Germany; kawohl@mi.uni-koeln.de..
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Abstract

We consider the pseudo-p-Laplacian, an anisotropic version of the p-Laplacian operator for $p\not=2$. We study relevant properties of its first eigenfunction for finite p and the limit problem as p → ∞.

Keywords

Eigenvalueanisotropicpseudo-Laplaceviscosity solutionminimal Lipschitz extensionconcavitysymmetryconvex rearrangement
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 10 , Issue 1 , January 2004 , pp. 28 - 52
Copyright
© EDP Sciences, SMAI, 2004

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