Critical equations with Hardy terms in the Heisenberg group

被引：4
作者：
Pucci, Patrizia [1 ]
Temperini, Letizia [2 ]
机构：
[1] Univ Perugia, Dipartimento Matemat & Informat, Via Vanvitelli 1, I-06123 Perugia, Italy
[2] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Viale Morgagni 67-A, I-50134 Florence, Italy
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2022年 / 71卷 / 03期
关键词：
Heisenberg group; Variation methods; critical exponents; Hardy terms; ELLIPTIC-EQUATIONS; CRITICAL GROWTH; INEQUALITIES; EXISTENCE; REGULARITY; PRINCIPLE; (P;
D O I：
10.1007/s12215-022-00741-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are concerned with the study of a critical (p, q) equation with Hardy terms on the Heisenberg group. Existence of entire solutions is obtained via an application of some concentration-compactness type results and the mountain pass theorem. Our results are presented in the model case of the (p, q) horizontal Laplacian equations, but the method can be extended to deal with a more general class of problems with operators of (p, q) growth.
引用
收藏
页码：1049 / 1077
页数：29
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