Steklov problem with an indefinite weight for the p-Laplacian

Let $Omegasubsetmathbb{R}^{N}$, with $Ngeq2$, be a Lipschitz domain and let 1 lees than p less than $infty$. We consider the eigenvalue problem $Delta_{p}u=0$ in $Omega$ and $| abla u|^{p-2}frac{partial u}{partial u}=lambda m|u|^{p-2}u$ on $partialOmega$, where $lambda$ is the eigenvalue and $uin W...

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Bibliographic Details
Main Author: Olaf Torne
Format: Article
Language:English
Published: Texas State University 2005-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/87/abstr.html