Existence of solutions for some nonlinear elliptic equations

In this paper, we study the existence of solutions to the following nonlinear elliptic problem in a bounded subset $Omega$ of $mathbb{R}^{N}$: $$displaylines{ -Delta _{p}u = f(x,u, abla u)+mu quad hbox{in } Omega ,cr u = 0 quad hbox{on }partial Omega , }$$ where $mu $ is a Radon m...

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Bibliographic Details
Main Authors: Aomar Anane, Omar Chakrone, Mohammed Chehabi
Format: Article
Language:English
Published: Texas State University 2006-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/63/abstr.html