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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2012-02-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2012/26/abstr.html |