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

[21] Ergodic pairs for singular or degenerate fully nonlinear operators
Birindelli, Isabeau
Demengel, Frakoise
Leoni, Fabiana
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2019, 25 : 1 - 28
[22] Schauder estimates for fully nonlinear elliptic difference operators
Kuo, HJ
Trudinger, NS
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2002, 132 : 1395 - 1406
[23] Approximate Homogenization of Fully Nonlinear Elliptic PDEs: Estimates and Numerical Results for Pucci Type Equations
Chris Finlay
Adam M. Oberman
Journal of Scientific Computing, 2018, 77 : 936 - 949
[24] Approximate Homogenization of Fully Nonlinear Elliptic PDEs: Estimates and Numerical Results for Pucci Type Equations
Finlay, Chris
Oberman, Adam M.
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 77 (02) : 936 - 949
[25] Regularity and uniqueness of the first eigenfunction for singular fully nonlinear operators
Birindelli, I.
Demengel, F.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (05) : 1089 - 1110
[26] FIRST EIGENVALUE AND MAXIMUM PRINCIPLE FOR FULLY NONLINEAR SINGULAR OPERATORS
Birindelli, Isabeau
Demengel, Francoise
ADVANCES IN DIFFERENTIAL EQUATIONS, 2006, 11 (01) : 91 - 119
[27] Eigenvalues for radially symmetric fully nonlinear singular or degenerate operators
Felmer, Patricio
Valdebenito, Dario
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (18) : 6524 - 6540
[28] Gradient estimates for viscosity solutions of singular fully nonlinear elliptic equations
Montenegro, Marcelo
Teixeira, Eduardo V.
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (02) : 428 - 452
[29] GENERALIZED EIGENVALUES FOR FULLY NONLINEAR SINGULAR OR DEGENERATE OPERATORS IN THE RADIAL CASE
Demengel, Francoise
ADVANCES IN DIFFERENTIAL EQUATIONS, 2009, 14 (11-12) : 1127 - 1154
[30] Harnack inequality for singular fully nonlinear operators and some existence results
Davila, Gonzalo
Felmer, Patricio
Quaas, Alexander
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 39 (3-4) : 557 - 578

← 1 2 3 4 5 →