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Existence of semiclassical solutions for some critical Schrödinger–Poisson equations with potentials
Nonlinear Analysis ( IF 1.4 ) Pub Date : 2020-04-03 , DOI: 10.1016/j.na.2020.111874 Minbo Yang
中文翻译:
具有势能的某些关键Schrödinger-Poisson方程的半经典解的存在
更新日期:2020-04-03
Nonlinear Analysis ( IF 1.4 ) Pub Date : 2020-04-03 , DOI: 10.1016/j.na.2020.111874 Minbo Yang
In this paper we are interested in the existence of semiclassical solutions for the critical Schrödinger–Poisson equations with multiple potentials. Under suitable assumptions on the potentials, we are able to prove the existence of semiclassical solutions with maximum points of concentrating at a special set characterized by some of the potentials. Moreover, for any sequence , by setting , the ground solutions convergence strongly in to a ground state solution of
中文翻译:
具有势能的某些关键Schrödinger-Poisson方程的半经典解的存在
在本文中,我们对具有多个潜在势的临界Schrödinger-Poisson方程的半经典解的存在性感兴趣。在潜在的适当假设下,我们能够证明半经典解的存在 最高分 的 专注于一个特殊的场景 具有某些潜力。而且,对于任何顺序, 通过设置 ,地面解决方案 强烈融合 到基态解决方案 的