A discontinuous problem involving the p-Laplacian operator and critical exponent in $mathbb{R}^N$

A discontinuous problem involving the p-Laplacian operator and critical exponent in $mathbb{R}^N$

Using convex analysis, we establish the existence of at least two nonnegative solutions for the quasilinear problem $$ -Delta_{p}u=H(u-a)u^{p^*-1} +lambda h(x)quadhbox{in }mathbb{R}^N $$ where $Delta_{p}u$ is the $p$-Laplacian operator, $H$ is the Heaviside function, $p^*$ is the Sobolev critical ex...

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Bibliographic Details
Main Authors: Claudianor Oliveira Alves, Ana Maria Bertone
Format: Article
Language:English
Published: Texas State University 2003-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Variational methods
discontinuous nonlinearities
critical exponents.
Online Access:http://ejde.math.txstate.edu/Volumes/2003/42/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2003/42/abstr.html

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