THE ALEKSANDROV-BAKELMAN-PUCCI ESTIMATES FOR SINGULAR FULLY NONLINEAR OPERATORS

被引：8

作者：

Junges Miotto, T. ^{[1
]}

机构：

[1] Univ Fed Santa Maria, Dept Matemat, Av Roraima,1000 CCNE, BR-97105900 Santa Maria, RS, Brazil

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2010年 / 12卷 / 04期

关键词：

Fully nonlinear operators; viscosity solutions; ABP estimates; 2ND-ORDER ELLIPTIC-OPERATORS; MAXIMUM PRINCIPLE; VISCOSITY SOLUTIONS; UNBOUNDED-DOMAINS; GENERAL DOMAINS; EQUATIONS; EIGENVALUE;

D O I：

10.1142/S0219199710003956

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main scope of this paper is to obtain Aleksandrov-Bakelman-Pucci estimates (ABP estimates) for viscosity solutions of singular fully nonlinear operator, which includes the p-Laplacian operator, p > 1.

引用

页码：607 / 627

页数：21

共 50 条

[31] Harnack inequality for singular fully nonlinear operators and some existence results
Gonzalo Dávila
Patricio Felmer
Alexander Quaas
Calculus of Variations and Partial Differential Equations, 2010, 39 : 557 - 578
[32] Nonlinear eigenvalues and bifurcation problems for Pucci's operators
Busca, J
Esteban, MJ
Quaas, A
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2005, 22 (02): : 187 - 206
[33] Estimates for Singular Integral Operators
Peter C. Fenton
John Rossi
Computational Methods and Function Theory, 2008, 8 (1) : 35 - 46
[34] 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
[35] NONUNIQUENESS OF SOLUTIONS FOR DIRICHLET PROBLEMS RELATED TO FULLY NONLINEAR SINGULAR OR DEGENERATE OPERATORS
Demengel, Francoise
ADVANCES IN DIFFERENTIAL EQUATIONS, 2009, 14 (11-12) : 1107 - 1126
[36] A BRIEF NOTE ON HARNACK-TYPE ESTIMATES FOR SINGULAR PARABOLIC NONLINEAR OPERATORS
Henriques, E.
Ciani, S.
BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 2023, 14 (02) : 56 - 76
[37] Lp estimates for mixed singular operators
Nilsson, A
MATHEMATICA SCANDINAVICA, 1999, 84 (02) : 195 - 202
[38] Global W2,δ estimates for a type of singular fully nonlinear elliptic equations
Li, Dongsheng
Li, Zhisu
MATHEMATISCHE ZEITSCHRIFT, 2017, 285 (3-4) : 1167 - 1179
[39] A note on the Liouville method applied to elliptic eventually degenerate fully nonlinear equations governed by the Pucci operators and the Keller–Osserman condition
Gregorio Díaz
Mathematische Annalen, 2012, 353 : 145 - 159
[40] Oscillating solutions for nonlinear equations involving the Pucci's extremal operators
d'Avenia, Pietro
Pomponio, Alessio
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 55

← 1 2 3 4 5 →