Ground state solutions of Hamiltonian elliptic systems in dimension two

被引：14

作者：

de Figueiredo, Djairo G. ^{[1
]}

do O, Joao Marcos ^{[2
]}

Zhang, Jianjun ^{[3
]}

机构：

[1] Univ Estadual Campinas, IMECC, CP 6065, BR-13081970 Campinas, SP, Brazil

[2] Univ Fed Paraiba, BR-58051900 Joao Pessoa, Paraiba, Brazil

[3] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2020年 / 150卷 / 04期

关键词：

Hamiltonian elliptic system; Trudinger-Moser inequality; ground state; generalized Nehari manifold; POSITIVE SOLUTIONS; EQUATIONS; EXISTENCE; GROWTH; INEQUALITIES; R-2;

D O I：

10.1017/prm.2018.78

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study Hamiltonian elliptic system of the form where Omega subset of R-2 is a bounded domain. In the second place, we present existence results for the following stationary Schrodinger systems defined in the whole plane We assume that the nonlinearities f, g have critical growth in the sense of Trudinger Moser. By using a suitable variational framework based on the generalized Nehari manifold method, we obtain the existence of ground state solutions of both systems (0.1) and (0.2).

引用

页码：1737 / 1768

页数：32

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