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2014 Nontrivial Solutions for Asymmetric Kirchhoff Type Problems
Ruichang Pei, Jihui Zhang
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/163645


We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growth at + and in N(N=2,3). Namely, it is 4-linear at and 4-superlinear at +. However, it need not satisfy the Ambrosetti-Rabinowitz condition on the positive semiaxis. Some existence results for nontrivial solution are established by combining Mountain Pass Theorem and a variant version of Mountain Pass Theorem with Moser-Trudinger inequality.


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Ruichang Pei. Jihui Zhang. "Nontrivial Solutions for Asymmetric Kirchhoff Type Problems." Abstr. Appl. Anal. 2014 1 - 8, 2014.


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

zbMATH: 07021842
MathSciNet: MR3198153
Digital Object Identifier: 10.1155/2014/163645

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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