Nonautonomous and non periodic Schrodinger equation with indefinite linear part

被引：3

作者：

Maia, L. A. ^{[1
]}

Oliveira Junior, J. C. ^{[2
]}

Ruviaro, R. ^{[1
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

[2] Univ Fed Tocantins, BR-77001090 Palmas, TO, Brazil

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 01期

关键词：

Asymptotically linear; Linking theorem; Spectral theory; ELLIPTIC PROBLEM; R-N; EXISTENCE;

D O I：

10.1007/s11784-016-0346-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of solution of the nonlinear Schrodinger equation is stablished in , -Delta u + V(x)u = f(x,u), where V changes sign and f is an asymptotically linear function at infinity, with V and f non periodic in x. Spectral theory, a classical linking theorem and interaction between translated solutions of the problem at infinity are employed.

引用

页码：17 / 36

页数：20

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