| Issue |
ESAIM: COCV
Volume 10, Number 1, January 2004
|
|
|---|---|---|
| Page(s) | 28 - 52 | |
| DOI | https://doi.org/10.1051/cocv:2003035 | |
| Published online | 15 February 2004 | |
The pseudo-p-Laplace eigenvalue problem and viscosity solutions as p → ∞
1
Dip. di Matematica, Universita di Parma, Via d'Azeglio
85, 43100 Parma, Italy; belloni@math.unipr.it.
2
Mathematisches Institut, Universität zu Köln, 50923
Köln, Germany; kawohl@mi.uni-koeln.de..
Received:
28
August
2002
Revised:
12
January
2003
We consider the pseudo-p-Laplacian, an anisotropic
version of the p-Laplacian operator for 
. We study
relevant properties of its first eigenfunction for finite p and
the limit problem as p → ∞.
Mathematics Subject Classification: 35P30 / 35B30 / 49R50 / 35P15
Key words: Eigenvalue / anisotropic / pseudo-Laplace / viscosity solution / minimal Lipschitz extension / concavity / symmetry / convex rearrangement
© EDP Sciences, SMAI, 2004
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