A new critical curve for a class of quasilinear elliptic systems

被引：10
|
作者：
D'Ambrosio, Lorenzo [1 ]
机构：
[1] Univ Bari, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 78卷
关键词：
Quasilinear elliptic systems; A priori estimates; Liouville theorems; Carnot groups; LIOUVILLE-TYPE THEOREMS; REPRESENTATION FORMULAS; EQUATIONS; INEQUALITIES; NONEXISTENCE; PRINCIPLES; EXISTENCE;
D O I：
10.1016/j.na.2012.09.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a class of systems of quasilinear differential inequalities associated to weakly coercive differential operators and power reaction terms. The main model cases are given by the p-Laplacian operator as well as the mean curvature operator in nonparametric form. We prove that if the exponents lie under a certain curve, then the system has only the trivial solution. These results hold without any restriction provided the possible solutions are more regular. The underlying framework is the classical Euclidean case as well as the Carnot groups setting. (c) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：62 / 78
页数：17
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