Existence of solutions to nonlocal elliptic equations with discontinuous terms

In this article, we study the existence of nonnegative solutions for the elliptic partial differential equation $$displaylines{ -[M(|u|^{p}_{1,p})]^{1,p}Delta_{p}u = f(x,u) quadhbox{in } Omega , cr u = 0 quadhbox{on } partialOmega , }$$ where $Omega subset mathbb{R}^N$ is a bounded smooth dom...

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Bibliographic Details
Main Authors: Francisco Julio S. A. Correa, Rubia G. Nascimento
Format: Article
Language:English
Published: Texas State University 2012-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/26/abstr.html