INFINITELY MANY SOLUTIONS FOR FRACTIONAL SCHRODINGER EQUATIONS IN RN

被引：0

作者：

Chen, Caisheng ^{[1
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

基金：

中国国家自然科学基金;

关键词：

Fractional Schrodinger equation; variational methods; (PS) condition; (C)(c) condition; WEAK SOLUTIONS; GROUND-STATE; LAPLACIAN; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using variational methods we prove the existence of infinitely many solutions to the fractional Schrodinger equation (-Delta)(s)u + V(x)u = f(x,u), x is an element of R-N, where N >= 2, s is an element of (0, 1). (-Delta)(s) stands for the fractional Laplacian. The potential function satisfies V(x) >= V-0 > 0. The nonlinearity f(x, u) is superlinear, has subcritical growth in u, and may or may not satisfy the (AR) condition.

引用

页数：15

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