BOUNDARY ASYMPTOTICS OF THE ERGODIC FUNCTIONS ASSOCIATED WITH FULLY NONLINEAR OPERATORS THROUGH A LIOUVILLE TYPE THEOREM

被引：2

作者：

Birindelli, Isabeau ^{[1
]}

Demengel, Francoise ^{[2
]}

Leoni, Fabiana ^{[1
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Matemat G Castelnuovo, Ple A Moro 2, I-00185 Rome, Italy

[2] CY Paris Univ, UMR 20 88, 2 Ave Adolphe Chauvin, F-95302 Cergy Pontoise, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2021年 / 41卷 / 07期

关键词：

Singular elliptic operators; degenerate elliptic operators; fully nonlinear operators; ergodic functions; Liouville type theorems;

D O I：

10.3934/dcds.2020395

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove gradient boundary blow up rates for ergodic functions in bounded domains related to fully nonlinear degenerate/singular elliptic operators. As a consequence, we deduce the uniqueness, up to constants, of the ergodic functions. The results are obtained by means of a Liouville type classification theorem in half-spaces for infinite boundary value problems related to fully nonlinear, uniformly elliptic operators.

引用

页码：3021 / 3029

页数：9

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