Semilinear PDEs in the Heisenberg group: The role of the right invariant vector fields

被引：12

作者：

Birindelli, Isabeau ^{[2
]}

Ferrari, Fausto ^{[3
,4
]}

Valdinoci, Enrico ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

[3] Univ Bologna, Dipartmento Matemat, I-40126 Bologna, Italy

[4] CIRAM, I-40123 Bologna, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 02期

关键词：

Semilinear PDEs; Heisenberg group; Entire solutions; Stability; SYMMETRY; INEQUALITY;

D O I：

10.1016/j.na.2009.07.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some geometric features of the stable solutions of semilinear PDEs in the Heisenberg group are dealt with. A nonexistence result is given. The analysis is carried out by investigating the role of the right invariant vector fields: the monotonicity along these vector fields implies the stability of the solution and it naturally gives rise to geometrically interesting quantities. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：987 / 997

页数：11

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