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] On a Class of Nonlinear Wave Equations
宋长明
孔德兴
JournalofShanghaiJiaotongUniversity, 2004, (02) : 62 - 66
[32] Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side
Charro, Fernando
Colorado, Eduardo
Peral, Ireneo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (11) : 4221 - 4248
[33] On a Class of Nonlinear Elliptic Singular Perturbations Problems
Chokri Ogabi
Differential Equations and Dynamical Systems, 2021, 29 : 383 - 389
[34] On a Class of Nonlinear Elliptic Singular Perturbations Problems
Ogabi, Chokri
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2021, 29 (02) : 383 - 389
[35] On a class of nonlinear elliptic BVP at critical growth
Squassina, M
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2003, 10 (1-3): : 193 - 207
[36] Two-phase transition problems for fully nonlinear parabolic equations of second order
Milakis, E
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2005, 54 (06) : 1751 - 1768
[37] A class of quasilinear elliptic equations with singular and exponential terms
Leon Tordecilla, Jesus Alberto
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (01) : 145 - 160
[38] Remarks on large solutions of a class of semilinear elliptic equations
Feng, Peng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (02) : 393 - 404
[39] A Morse lemma at infinity for nonlinear elliptic fractional equations
Abdelhedi, Wael
Hajaiej, Hichem
Mhamdi, Zeinab
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2021, 146 : 1 - 42
[40] The asymptotics of solutions to elliptic equations with nonlinear boundary conditions
Kondratiev V.A.
Journal of Mathematical Sciences, 2010, 164 (6) : 896 - 905

← 1 2 3 4 5 →