On a class of fully nonlinear elliptic equations in dimension two

被引：2

作者：

Pacella, Filomena ^{[1
]}

Stolnicki, David ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, Rome, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 298卷

关键词：

Fully nonlinear equations; Asymptotic behavior; Critical exponent;

D O I：

10.1016/j.jde.2021.07.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study existence and asymptotic behavior of radial positive solutions of some fully nonlinear equations involving Pucci's extremal operators in dimension two. In particular we prove the existence of a positive solution of a fully nonlinear version of the Liouville equation in the plane. Moreover for the M-lambda,Lambda(-), operator, we show the existence of a critical exponent and give bounds for it. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：463 / 479

页数：17

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