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2014 Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity in R3
Ling Ding, Lin Li, Jin-Ling Zhang
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/710949

Abstract

We study the following nonhomogeneous Kirchhoff equation: -(a+bR3|u|2dx)Δu+u=k(x)f(u)+h(x), xR3, uH1(R3), u>0, xR3, where f is asymptotically linear with respect to t at infinity. Under appropriate assumptions on k,f, and h, existence of two positive solutions is proved by using the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory.

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Ling Ding. Lin Li. Jin-Ling Zhang. "Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity in R3." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/710949

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022928
MathSciNet: MR3176766
Digital Object Identifier: 10.1155/2014/710949

Rights: Copyright © 2014 Hindawi

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