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2010 Multiple Positive Solutions for Semilinear Elliptic Equations in N Involving Concave-Convex Nonlinearities and Sign-Changing Weight Functions
Tsing-San Hsu, Huei-Li Lin
Abstr. Appl. Anal. 2010(none): 1-21 (2010). DOI: 10.1155/2010/658397

Abstract

We study the existence and multiplicity of positive solutions for the following semilinear elliptic equation - Δ u + u = λ a ( x ) | u | q - 2 u + b ( x ) | u | p - 2 u in N , u H 1 ( N ) , where λ > 0 , 1 < q < 2 < p < 2 * ( 2 * = 2 N / ( N - 2 ) if N 3 , 2 * = if N = 1,2 ), a ( x ) , b ( x ) satisfy suitable conditions, and a ( x ) may change sign in N .

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Tsing-San Hsu. Huei-Li Lin. "Multiple Positive Solutions for Semilinear Elliptic Equations in N Involving Concave-Convex Nonlinearities and Sign-Changing Weight Functions." Abstr. Appl. Anal. 2010 1 - 21, 2010. https://doi.org/10.1155/2010/658397

Information

Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 05791633
MathSciNet: MR2669082
Digital Object Identifier: 10.1155/2010/658397

Rights: Copyright © 2010 Hindawi

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