Nonlinear elliptic inequalities with gradient terms on the Heisenberg group

被引：20

作者：

Bordoni, Sara ^{[1
]}

Filippucci, Roberta ^{[1
]}

Pucci, Patrizia ^{[1
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 121卷

关键词：

Nonlinear elliptic inequalities on the Heisenberg group; Existence; Nonexistence; Uniqueness and qualitative properties of entire solutions; NONEXISTENCE; PRINCIPLES; THEOREMS; SYSTEMS;

D O I：

10.1016/j.na.2015.02.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give sufficient conditions both for existence and for nonexistence of nontrivial nonnegative entire solutions of nonlinear elliptic inequalities with gradient terms on the Heisenberg group. The picture is completed with the presentation of a uniqueness result which is, as far as we know, the first attempt for general equations with gradient terms on the Heisenberg group. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：262 / 279

页数：18

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