NONLOCAL SCHRODINGER EQUATIONS FOR INTEGRO-DIFFERENTIAL OPERATORS WITH MEASURABLE KERNELS

被引：6

作者：

Duarte, Ronaldo C. ^{[1
]}

Souto, Marco A. S. ^{[2
]}

机构：

[1] Univ Estado Rio Grande do Norte, Unidade Acad Matemat, BR-59610210 Mossoro, RN, Brazil

[2] Univ Fed Campina Grande, Dept Matemat, BR-58429010 Campina Grande, PB, Brazil

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2019年 / 54卷 / 01期

关键词：

Integro-differential operator; nonlocal Schrodinger equation; asymptotic potential; POSITIVE SOLUTIONS; EXISTENCE; SYMMETRY; STATE;

D O I：

10.12775/TMNA.2019.056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate the existence of positive solutions for the problem -L(K)u + V(x)u = f(u) in R-N, where -L-K is an integro-differential operator with measurable kernel K. Under apropriate hypotheses, we prove by variational methods that this equation has a nonnegative solution.

引用

页码：383 / 406

页数：24

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