Existence Results for a px-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition

Libo Wang; Minghe Pei

doi:10.1155/2013/914210

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2013 Existence Results for a

p\left(x\right)

-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition

Libo Wang, Minghe Pei

J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/914210

Abstract

We consider the existence and multiplicity of solutions for the $p\left(x\right)$ -Kirchhoff-type equations without Ambrosetti-Rabinowitz condition. Using the Mountain Pass Lemma, the Fountain Theorem, and its dual, the existence of solutions and infinitely many solutions were obtained, respectively.

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Libo Wang. Minghe Pei. "Existence Results for a $p\left(x\right)$ -Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/914210