MULTIPLE SOLUTIONS FOR NONHOMOGENEOUS SCHRODINGER-POISSON EQUATIONS WITH SIGN-CHANGING POTENTIAL

被引：0

作者：

Wang, Lixia ^{[1
,2
]}

Ma, Shiwang ^{[3
,4
]}

Xu, Na ^{[5
]}

机构：

[1] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

[2] Tianjin Chengjian Univ, Sch Sci, Tianjin 300384, Peoples R China

[3] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[4] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[5] Tianjin Univ Technol & Educ, Sch Sci, Tianjin 300222, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Nonhomogeneous; sign -changing potential; Schrodinger-Poisson equations; Eke land's variational principle; Mountain Pass Theorem; KLEIN-GORDON-MAXWELL; POSITIVE SOLUTIONS; CONVEX NONLINEARITIES; SOLITARY WAVES; BOUND-STATES; SYSTEM; EXISTENCE; R-3; CONCAVE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the following nonhomogeneous Schrodinger-Poisson equations {integral-Delta u +lambda V(x)u + K (x)phi u = f (x, u) + g(x), x is an element of R-3, -Delta phi = K(x)u(2,) x is an element of R-3, where lambda > 0 is a parameter. Under some suitable assumptions on V,K,f and g, the existence of multiple solutions is proved by using the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory. In particular, the potential V is allowed to be sign changing.

引用

页码：555 / 572

页数：18

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