CRITICAL SCHRODINGER-HARDY SYSTEMS IN THE HEISENBERG GROUP

被引：33
|
作者：
Pucci, Patrizia [1 ]
机构：
[1] Univ Perugia, Dept Math & Informat, Via Vanvitelli 1, I-06123 Perugia, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2019年 / 12卷 / 02期
关键词：
Heisenberg group; entire solutions; Schrodinger-Hardy systems; subelliptic critical systems; SOBOLEV INEQUALITIES; LAPLACIAN-EQUATIONS; LIE-GROUPS; EXISTENCE; OPERATORS; SPACES;
D O I：
10.3934/dcdss.2019025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is focused on existence of nontrivial solutions of a Schrodinger-Hardy system in the Heisenberg group, involving critical nonlinearities. Existence is obtained by an application of the mountain pass theorem and the Ekeland variational principle, but there are several difficulties arising in the framework of Heisenberg groups, also due to the presence of the Hardy terms as well as critical nonlinearities.
引用
收藏
页码：375 / 400
页数：26
相关论文
共 50 条
12345