Remarks on least energy solutions for quasilinear elliptic problems in $R^N$

In this work we establish some properties of the solutions to the quasilinear second-order problem $$ -Delta_p w=g(w)quad hbox{in } mathbb{R}^N $$ where $Delta_p u=mathop{ m div}(| abla u|^{p-2} abla u)$ is the $p$-Laplacian operator and $ 1<pleq N $. We study a mountain pass characterization of...

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Bibliographic Details
Main Authors: Joao Marcos Do O, Everaldo S. Medeiros
Format: Article
Language:English
Published: Texas State University 2003-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/83/abstr.html