Existence of Nontrivial Solutions for Periodic Schrodinger Equations with New Nonlinearities

被引：2

作者：

Chen, Shaowei ^{[1
]}

Zhang, Dawei ^{[1
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

D O I：

10.1155/2014/539639

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Schrodinger equation: -Delta u + V(x)u +f (x,u) = 0, u epsilon H-1(R-N), where V is 1-periodic and f is 1-periodic in the x-variables; 0 is in a gap of the spectrum of the operator -Delta + V. We prove that, under some new assumptions for f, this equation has a nontrivial solution. Our assumptions for the nonlinearity f are very weak and greatly different from the known assumptions in the literature.

引用

页数：10

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