Infinitely many weak solutions for a p-Laplacian equation with nonlinear boundary conditions

We study the following quasilinear problem with nonlinear boundary conditions $$displaylines -Delta _{p}u+a(x)|u|^{p-2} u=f(x,u) quad mbox{in }Omega, cr | abla u|^{p-2} frac{partial u}{partial u}=g(x,u) quad mbox{on } partialOmega, }$$ where $Omega$ is a bounded domain in $mathbb{R}^{N}$ wit...

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Bibliographic Details
Main Authors: Pei-Hao Zhao, Ji-Hong Zhao
Format: Article
Language:English
Published: Texas State University 2007-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/90/abstr.html