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2009 Multiplicity Results for p-Laplacian with Critical Nonlinearity of Concave-Convex Type and Sign-Changing Weight Functions
Tsing-San Hsu
Abstr. Appl. Anal. 2009: 1-24 (2009). DOI: 10.1155/2009/652109

Abstract

The multiple results of positive solutions for the following quasilinearelliptic equation: Δpu=λf(x)|u|q2u+g(x)|u|p2u in Ω, u=0 on Ω, are established. Here, 0Ω is a bounded smooth domain in N,Δp denotes the p-Laplacian operator, 1q<p<N,p=Np/(Np),λ is a positive real parameter, and f,g are continuous functions on Ω¯ which are somewhere positive but which may change sign on Ω. The study is based on the extraction of Palais-Smale sequences in the Nehari manifold.

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Tsing-San Hsu. "Multiplicity Results for p-Laplacian with Critical Nonlinearity of Concave-Convex Type and Sign-Changing Weight Functions." Abstr. Appl. Anal. 2009 1 - 24, 2009. https://doi.org/10.1155/2009/652109

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1179.35134
MathSciNet: MR2559275
Digital Object Identifier: 10.1155/2009/652109

Rights: Copyright © 2009 Hindawi

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