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.

引用

页码：369 / 383

页数：15

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ARIOLI G., 1998, Differential Integral Equations, V11, P311

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