Yamabe-Type Equations on Carnot Groups

被引：22
|
作者：
Bisci, Giovanni Molica [1 ]
Repovs, Dusan [2 ,3 ]
机构：
[1] Univ Mediterranea Reggio Calabria, Dipartimento PAU, Salita Melissari Feo Vito, I-89100 Reggio Di Calabria, Italy
[2] Univ Ljubljana, Fac Educ, POB 2964, Ljubljana 1001, Slovenia
[3] Univ Ljubljana, Fac Math & Phys, POB 2964, Ljubljana 1001, Slovenia
来源：
POTENTIAL ANALYSIS | 2017年 / 46卷 / 02期
关键词：
Subelliptic equation; Critical problem; Carnot group; Existence result; Variational methods; ELLIPTIC-EQUATIONS; EXISTENCE;
D O I：
10.1007/s11118-016-9587-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a smooth and bounded domain D of the Heisenberg group H-n = C-n x R. Our approach is based on pure variational methods and locally sequentially weakly lower semicontinuous arguments.
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页码：369 / 383
页数：15
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