| 全空间R~N上基尔霍夫方程的多解存在性(英文) |
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| 引用本文： | 金家华,李莉,尹玉玲.全空间R~N上基尔霍夫方程的多解存在性(英文)[J].云南师范大学学报(自然科学版),2010,30(3):19-24. |
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| 作者姓名： | 金家华 李莉 尹玉玲 |
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| 作者单位： | 云南师范大学数学学院,云南,昆明,650092 |
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| 摘 要： | 文章主要研究全空间RN上基尔霍夫方程.(a+b∫RN|▽u|2dx)Δu+V(x)u=f(x;u)。运用喷泉定理,在位势V(x)满足某些假设条件时,我们得到了该方程的多解存在性结果。
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| 关 键 词： | 基尔霍夫方程 喷泉定理 临界点 非局部问题 |
A multiplicity result for Kirchhoff-type equations in RN |
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| JIN Jia-hua,LI Li,YIN Yu-ling.A multiplicity result for Kirchhoff-type equations in RN[J].Journal of Yunnan Normal University (Natural Sciences Edition),2010,30(3):19-24. |
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| Authors: | JIN Jia-hua LI Li YIN Yu-ling |
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| Institution: | JIN Jia-hua,LI Li,YIN Yu-ling(Department of Mathematics,Yunnan Normal University,Kunming,Yunnan 650092,P.R.China) |
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| Abstract: | In this paper, we concerned with a class Kirchhoff-type equation in the whole space Rn.(a + b∫RN|▽u|2dx)Δu+V (x)u = f(x;u). Under certain assumptions on potential V (x), the multiplicity of its solutions are established via Fountain Theorem. |
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| Keywords: | Kirchhoff-type equations Fountain Theorem critical points nonlocal problem |
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