Nontrivial Solutions for Asymmetric Kirchhoff Type Problems

Ruichang Pei and Jihui Zhang

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

Abstract:

We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growth at and in . 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:163645

DOI: 10.1155/2014/163645

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