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一个关于Kirchhoff方程解的存在性的注记

A Note on the Existence of Solutions for Kirchhoff Type Problems without Ambrosetti-Rabinowitz Condition
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摘要 对如下形式的Kirchhoff型非局部问题进行了研究：上的连续实函数．通过变分计算得到了无经典Ambrosetti—Rabinowitz条件下这类问题的多重解的存在性． Abstract： In this paper we consider the Kirchhofftype nonlocal problem in the form of q where .（2 is a smooth bounded domain of . is a real continuous function. We obtain the existence of multiplicity of solutions through variational methods for this problem without the classical Ambrosetti-Rabinowitz condition.
作者 胡晓晓
机构地区 温州医学院信息与工程学院
出处 《宁波大学学报（理工版）》 CAS 2013年第1期60-62,共3页 Journal of Ningbo University：Natural Science and Engineering Edition
基金 浙江省自然科学基金(LQ12A01015)
关键词 变分法 Kirchhoff型问题 山路引理 variational methods Kirchhoff type problem Mountain-Pass theorem
分类号 O175.8 [理学—基础数学]
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参考文献12

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  • 4Zhang Z T,Perera K. Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow[J].{H}Journal of Mathematical Analysis and Applications,2006.456-463.
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  • 7Mao Anmin,Zhang Zhitao. Sign-changing and multiple solutions of Kirchhoff type problems without the P.S.condition[J].{H}Nonlinear Analysis TMA,2009.1275-1287.
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  • 9Wu Xian. Existence of nontrivial solutions and high energy solutions for Schr?dinger-Kirchhoff-type equations in N R[J].Nonlinear Analysis:Real World Applications,2011.1278-1287.
  • 10Jin Jiahua,Wu Xian. Infinitely many radial solutions for Kirchhoff-type problems in N R[J].{H}Journal of Mathematical Analysis and Applications,2010.564-574.
宁波大学学报（理工版）
2013年 第1期

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