Ground state solutions for nonautonomous Schrodinger-Poisson systems involving critical exponent

被引：0

作者：

Ye, Yiwei ^{[1
]}

机构：

[1] Chongqing Normal Univ, Coll Math Sci, Chongqing 401331, Peoples R China

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2019年 / 62卷 / 02期

关键词：

Schrodinger-Poisson system; critical growth; variational methods; POSITIVE SOLUTIONS; EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the Schrodinger-Poisson system with critical exponent of the version -Delta u + V(x)u + phi u = a(x) f (u) u(5) in R-3 and -Delta phi = u(2) in R-3, we prove the existence of one ground state solution when lim(vertical bar x vertical bar ->infinity) V(x) = V-infinity > 0 and V(x) <= V-infinity + C(1)e(-b vertical bar x vertical bar) for some b > 0 and vertical bar x vertical bar large.

引用

页码：199 / 207

页数：9

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