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

页码：3 / 19

页数：17

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