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EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS TO p-KIRCHHOFF TYPE EQUATION

EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS TO p-KIRCHHOFF TYPE EQUATION
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摘要 In this paper, by applying Fountain theorem, we study the existence of nontrivial solutions to the nonlinear kirchhof nonlocal equation under Ambrosetti-Rabinowitztype growth conditions. In this paper, by applying Fountain theorem, we study the existence of nontrivial solutions to the nonlinear kirchhof nonlocal equation under Ambrosetti-Rabinowitztype growth conditions.
作者 Chunhan Liu Jianguo Wang
机构地区 Dept. of Math.
出处 《Annals of Differential Equations》 2013年第4期423-429,共7页 微分方程年刊（英文版）
基金 supported by the National Natural Science Foundation of China(10971179) the Project of Shandong Province Higher Educational Science and Technology Program(J09LA55 J12LI53)
关键词 p-Kirchhof type equation Fountain theorem nontrivial solution p-Kirchhof type equation Fountain theorem nontrivial solution
分类号 O175 [理学—基础数学]
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参考文献12

  • 1Ji-Jiang Sun,Chun-Lei Tang.Existence and multiplicity of solutions for Kirchhoff type equations[J].Nonlinear Analysis.2010(4)
  • 2Duchao Liu.On a p -Kirchhoff equation via Fountain Theorem and Dual Fountain Theorem[J].Nonlinear Analysis.2009(1)
  • 3Bitao Cheng,Xian Wu.Existence results of positive solutions of Kirchhoff type problems[J].Nonlinear Analysis.2009(10)
  • 4Anmin Mao,Zhitao Zhang.Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition[J].Nonlinear Analysis.2008(3)
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  • 8Peter Lindqvist.Addendum: "On the equation div(|?u|p?2?u)+λ|u|p?2u=0{\rm div}(\vert \nabla u\vert ^{p-2}\nabla u)+\lambda\vert u\vert ^{p-2}u=0’’ [Proc. Amer. Math. Soc. 109 (1990), no. 1, 157–164; MR1007505 (90h:35088)][].Proceedings of the American Mathematical Society.1992
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Annals of Differential Equations
2013年 第4期

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