SIGN-CHANGING MULTI-BUMP SOLUTIONS FOR KIRCHHOFF-TYPE EQUATIONS IN R 3
SIGN-CHANGING MULTI-BUMP SOLUTIONS FOR KIRCHHOFF-TYPE EQUATIONS IN R 3
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发表时间：
2018
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通讯作者：
Yinbin Deng
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作者：
Yinbin Deng
.我们感兴趣的是以下Kirchho方程的变号多凸点解的存在性，其中λ > 0是一个参数，势V（x）是一个具有势阱的非负连续函数，其中有k个不相交的有界分量<$1，<$2，···，<$k。在f（u）满足一定条件的情况下，得到了多个变号多凸点解.此外，还研究了当λ → + ∞时这些解的浓度行为.
. We are interested in the existence of sign-changing multi-bump solutions for the following Kirchhoff equation where λ > 0 is a parameter and the potential V ( x ) is a nonnegative con- tinuous function with a potential well Ω := int ( V − 1 (0)) which possesses k disjoint bounded components Ω 1 , Ω 2 , ··· , Ω k . Under some conditions imposed on f ( u ), multiple sign-changing multi-bump solutions are obtained. Moreover, the concentration behavior of these solutions as λ → + ∞ are also studied.