Existence Results for a p(x)-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition

Existence Results for a p(x)-Kirchhoff-Type Equation without Ambrosetti-Rabinowitz Condition

We consider the existence and multiplicity of solutions for the p(x)-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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Veröffentlicht in:Journal of Applied Mathematics 2013-01, Vol.2013, p.129-136-812
Hauptverfasser: Wang, Libo, Pei, Minghe
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations, Partial
Existence theorems
Mathematical research
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Zusammenfassung:We consider the existence and multiplicity of solutions for the p(x)-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.
ISSN:1110-757X
DOI:10.1155/2013/914210