Volume 10, Number 1, January 2004
|Page(s)||28 - 52|
|Published online||15 February 2004|
The pseudo-p-Laplace eigenvalue problem and viscosity solutions as p → ∞
Dip. di Matematica, Universita di Parma, Via d'Azeglio
85, 43100 Parma, Italy; email@example.com.
2 Mathematisches Institut, Universität zu Köln, 50923 Köln, Germany; firstname.lastname@example.org..
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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