On multi-bump solutions of nonlinear Schrodinger equation with electromagnetic fields and critical nonlinearity in R-N
On multi-bump solutions of nonlinear Schrodinger equation with electromagnetic fields and critical nonlinearity in R-N
复制标题
具有电磁场和 R-N 临界非线性的非线性薛定谔方程的多凸点解
DOI：
10.1007/s00526-017-1116-x
复制
发表时间：
2017
影响因子：
2.1
通讯作者：
Shi Shaoyun
中科院分区：
文献类型：
--
作者：
Liang Sihua;Shi Shaoyun
In this paper, we study a class of nonlinear Schrödinger equations with electromagnetic fields and critical nonlinearity in R N : - Δ A u + ( λ V ( x ) + Z ( x ) ) u = β f ( | u | 2 ) u + | u | 2 ∗ - 2 u , wherefis a continuous function,are continuous functions verifying suitable hypotheses. We show that if the zero set ofV(x) has several isolated connected componentssuch that the interior ofis not empty andis smooth, then forlarge there exists, for any non-empty subset, a bump solution trapped in a neighborhood of.
