| 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; This email address is being protected from spambots. You need JavaScript enabled to view it.
.
2
Mathematisches Institut, Universität zu Köln, 50923
Köln, Germany; This email address is being protected from spambots. You need JavaScript enabled to view it.
..
Received:
28
August
2002
Revised:
12
January
2003
Abstract
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.