Existence and asymptotic behavior of positive ground state solutions for nonlinear Kirchhoff problems
Existence and asymptotic behavior of positive ground state solutions for nonlinear Kirchhoff problems
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非线性基尔霍夫问题正基态解的存在性及其渐近行为
DOI：
10.1016/j.cnsns.2020.105369
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发表时间：
2020
影响因子：
3.9
通讯作者：
He Qihan
中科院分区：
文献类型：
--
作者：
Ding Hui-Sheng;He Qihan
我们考虑方程−（a+ B）R 3的正基态解的存在性|u| 2）Δ u+ V（x）u= B γ（x）|u| pu，u∈ H1（R3），其中p∈（2，4）且a，B> 0.此外，我们还研究了当（λ，γ）趋于某个不动点时，上述解的渐近性态.
We consider the existence of positive ground state solutions to the following equation−(a+ b∫ R 3|∇ u| 2) Δ u+ V ϵ (x) u= b γ (x)| u| p u, u∈ H 1 (R 3), under some assumptions on V ϵ (x) and b γ (x), where p∈(2, 4) and a, b> 0. Moreover, we also study asymptotic behavior of the solutions obtained above as (ϵ, γ) tends to some fixed point.