MULTIPLE SOLUTIONS FOR NONHOMOGENEOUS QUASILINEAR SCHRoDINGER-POISSON SYSTEM

被引：1

作者：

Huang, Lanxin ^{[1
]}

Su, Jiabao ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Nonhomogeneous quasilinear Schrodinger-Poisson system; vari-ational methods; multiple solutions; GROUND-STATE SOLUTIONS; SOLITARY WAVES; ELLIPTIC-EQUATIONS; MAXWELL; EXISTENCE;

D O I：

10.11948/20220404

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonhomogeneous quasilinear Schrodinger-Poisson system { - increment pu + TuTp-2u + & lambda;& phi;TuTp-2u = TuTq-2u + h(x) in R3, - increment & phi; = TuTp in R3, where 1 < p < 3, p < q < p* = 3p 3-p , increment pu = div(T backward difference uTp-2 backward difference u), & lambda; > 0 and h = 0. Under suitable assumptions on h, the Ekeland's variational principle and the mountain pass theorem are applied to establish the existence of mul-tiple solutions for this system. To the best of our knowledge, this paper is one of the first contributions to the study of the nonhomogeneous quasilinear Schrodinger-Poisson system.

引用

页码：1597 / 1612

页数：16

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