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一类退化Kirchhoff方程基态解的存在性

Positive Ground State Solutions for Degenerate Kirchhoff-Type Equation
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摘要 研究了在R^3上的一类退化的Kirchhoff方程{-(b∫_(R^3)|▽u|~2dx)Δu+V(x)u=|u|^(p-2)u x∈R^3,u∈H^1(R^3),u>0 x∈R^3利用变分法及分析方法,得到了它的一个正的基态解. In this paper, using the variational methods, we deal with the existence of positive state solu- tions for Degenerate Kirchhoff-type problem with nonlinear team in Na :{-(b∫_(R^3)|▽u|~2dx)Δu+V(x)u=|u|^(p-2)u x∈R^3,u∈H^1(R^3),u〉0 x∈R^3
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2016年第4期54-60,共7页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金项目(11071267) 中央高校基本业务费专项基金项目(XD5K2016C119)
关键词 KIRCHHOFF方程 基态解 变分法 Pohozaev等式 Kirchhoff-type equation state solutions variational method Pohozaev equality
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参考文献6

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二级参考文献6

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