ON STRONGLY INDEFINITE SCHRoDINGER EQUATIONS WITH NON-PERIODIC POTENTIAL

被引：6

作者：

Wu, Yue ^{[1
]}

Chen, Wei ^{[1
]}

机构：

[1] Linyi Univ, Sch Math & Stat, Linyi 276100, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Schrodinger equations; superlinear; variational methods; strongly indefinite functionals; SIGN-CHANGING SOLUTIONS; ELLIPTIC-EQUATIONS; EXISTENCE;

D O I：

10.11948/20210036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the non-periodic superlinear Schrodi-nger equation -?u + V(x)u = f (x, u), u ? H-1(R-N). Here, the Shrodinger operator -?+V is strongly indefinite, that is, possesses a infinite dimensional negative space, which leads to more difficulty in verifying the compactness conditions. We prove the existence, as well as multiplicity provided f (x, t) is odd in t, of solutions via variational methods.

引用

页码：1 / 10

页数：10

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