Entire solutions of quasilinear elliptic systems on Carnot groups

被引：13
作者：
D'Ambrosio, Lorenzo [1 ]
Mitidieri, Enzo [2 ]
机构：
[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
[2] Univ Trieste, Dipartimento Matemat & Geosci, I-34127 Trieste, Italy
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2013年 / 283卷 / 01期
关键词：
LIOUVILLE THEOREMS; POSITIVE SOLUTIONS; LOCAL BEHAVIOR; EQUATIONS; INEQUALITIES; NONEXISTENCE; PRINCIPLES; EXISTENCE;
D O I：
10.1134/S0081543813080026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove general a priori estimates of the solutions of a class of quasilinear elliptic systems on Carnot groups. As a consequence, we obtain several nonexistence theorems. The results are new even in the Euclidean setting.
引用
收藏
页码：3 / 19
页数：17
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