应用数学2007，Vol.20Issue(4)：640-645,6.
一类非线性薛定谔方程的多解的存在性
Multiple Solutions for a Class of Nonlinear Schr(o)dinger Equations
摘要
Abstract
In this paper,we show that the nonlinear Schrodinger equation -△u+V(x)u=f(u),x∈RN,where N＞3 and the potential V(x) is a continuous function satisfying V(x)≥V0＞0 for all x∈ RN,possesses infinitly many solutions in H1(RN).关键词
存在性/无穷多解/薛定谔方程Key words
Existence/Infinitely many solutions/Schr(o)dinger equation分类
数理科学引用本文复制引用
彭超权,杨健夫..一类非线性薛定谔方程的多解的存在性[J].应用数学,2007,20(4):640-645,6.基金项目
Supported by the National Natural Science Foundation of China(10571175,10631030) （10571175,10631030）
