Existence of solutions for the p-Laplacian involving a Radon measure

Existence of solutions for the p-Laplacian involving a Radon measure

In this article we study the existence of solutions to eigenvalue problem $$displaylines{ -hbox{div} (|abla u|^{p-2}abla u)-lambda |u|^{p-2}umu=f quad hbox{in }Omega,cr u=0quadhbox{on }partialOmega }$$ where $Omega$ is a bounded domain in $mathbb{R}^N$ and $mu$ is a nonnegative Radon measure....

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Bibliographic Details
Main Authors: Nedra Belhaj Rhouma, Wahid Sayeb
Format: Article
Language:English
Published: Texas State University 2012-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Dirichlet problem
p-Laplacian
genus function
eigenfunction
nonlinear eigenvalue problem
Palais-Smale condition
mountain-pass theorem
critical point
Online Access:http://ejde.math.txstate.edu/Volumes/2012/35/abstr.html
Description
Summary:In this article we study the existence of solutions to eigenvalue problem $$displaylines{ -hbox{div} (|abla u|^{p-2}abla u)-lambda |u|^{p-2}umu=f quad hbox{in }Omega,cr u=0quadhbox{on }partialOmega }$$ where $Omega$ is a bounded domain in $mathbb{R}^N$ and $mu$ is a nonnegative Radon measure.
ISSN:1072-6691

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