Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group

被引：6

作者：

Goffi, Alessro ^{[1
]}

机构：

[1] Univ Padua, Dept Math T Levi Civita, Via Trieste 63, I-35121 Padua, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 200卷

关键词：

Fully nonlinear equations; Nonlinear degenerate elliptic equations; Heisenberg group; Hadamard Three-Sphere Theorem; Liouville Theorems; ELLIPTIC-EQUATIONS; BARRIER FUNCTIONS; DIRICHLET PROBLEM; THEOREMS; OPERATORS; INEQUALITIES; PROPERTY;

D O I：

10.1016/j.na.2020.112013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove new (sharp) Liouville-type properties via degenerate Hadamard three-sphere theorems for fully nonlinear equations structured over Heisenberg vector fields. As model examples, we cover the case of Pucci's extremal operators perturbed by suitable semilinear and gradient terms, extending to the Heisenberg setting known contributions valid in the Euclidean framework. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：18

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