Existence and multiplicity of positive solutions for a singular problem associated to the p-Laplacian operator

Consider the problem $$ -Delta_{p}u=g(u) +lambda h(u)quadhbox{in }Omega $$ with $u=0$ on the boundary, where $lambdain(0,infty)$, $Omega$ is a strictly convex bounded and $C^{2}$ domain in $mathbb{R}^{N}$ with $Ngeq2$, and 1 less than $pleq2$. Under suitable assumptions on $g$ and $h$ that allow a...

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Bibliographic Details
Main Authors: Carlos Aranda, Tomas Godoy
Format: Article
Language:English
Published: Texas State University 2004-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/132/abstr.html