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

共 50 条

[31] A priori Estimates and Existence for a Class of Fully Nonlinear Elliptic Equations in Conformal Geometry*
Xu-Jia Wang
Chinese Annals of Mathematics, Series B, 2006, 27 : 169 - 178
[32] A priori Estimates and Existence for a Class of Fully Nonlinear Elliptic Equations in Conformal Geometry
Xu-Jia WANG (Dedicated to the memory of Shiing-Shen Cherri)
ChineseAnnalsofMathematics, 2006, (02) : 169 - 178
[33] Second derivative Lδ-estimates for a class of singular fully nonlinear elliptic equations
Baasandorj, Sumiya
Byun, Sun-Sig
Oh, Jehan
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2024, 249
[34] A class of fully nonlinear equations
Chen, Xiuxiong
He, Weiyong
PURE AND APPLIED MATHEMATICS QUARTERLY, 2019, 15 (04) : 1029 - 1045
[35] Concavity estimates for a class of nonlinear elliptic equations in two dimensions
Ma, XN
MATHEMATISCHE ZEITSCHRIFT, 2002, 240 (01) : 1 - 11
[36] A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry
Wang, Xu-Jia
CHINESE ANNALS OF MATHEMATICS SERIES B, 2006, 27 (02) : 169 - 178
[37] Concavity estimates for a class of nonlinear elliptic equations in two dimensions
Xi-Nan Ma
Mathematische Zeitschrift, 2002, 240 : 1 - 11
[38] Boundary Lower Estimates for a Class of Fully Nonlinear Elliptic Partial Differential Equations
Mengni Li
You Li
Frontiers of Mathematics, 2023, 18 : 81 - 104
[39] Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations
Sumiya Baasandorj
Sun-Sig Byun
Ki-Ahm Lee
Se-Chan Lee
Mathematische Zeitschrift, 2024, 306
[40] Removable Singularities for Fully Nonlinear Elliptic Equations
Denis A. Labutin
Archive for Rational Mechanics and Analysis, 2000, 155 : 201 - 214

← 1 2 3 4 5 →