The Weak Maximum Principle for Degenerate Elliptic Operators in Unbounded Domains

被引：13

作者：

Dolcetta, Italo Capuzzo ^{[1
]}

Vitolo, Antonio ^{[2
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Matemat, I-00185 Rome, Italy

[2] Univ Salerno, Dipartimento Matemat, I-84084 Fisciano, SA, Italy

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2018年 / 2018卷 / 02期

关键词：

BAKELMAN-PUCCI ESTIMATE; VISCOSITY SOLUTIONS; EQUATIONS; INEQUALITY;

D O I：

10.1093/imrn/rnw249

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate and prove the validity of the maximum principle in narrow, possibly unbounded domains for very degenerate elliptic operators, just requiring a strict ellipticity in one direction and moreover establishing related Phragmen-Lindelof principles.

引用

页码：412 / 431

页数：20

共 50 条

[1] A family of degenerate elliptic operators: Maximum principle and its consequences
Birindelli, Isabeau
Galise, Giulio
Ishii, Hitoshi
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2018, 35 (02): : 417 - 441
[2] Maximum principles for elliptic operators in unbounded Riemannian domains
Bisterzo, Andrea
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2024, 31 (04):
[3] WEAK SOLUTIONS FOR DEGENERATE SEMILINEAR ELLIPTIC BVPS IN UNBOUNDED DOMAINS
Kar, Rasmita
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[4] Large sets at infinity and Maximum Principle on unbounded domains for a class of sub-elliptic operators
Biagi, Stefano
Lanconelli, Ermanno
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (11) : 9680 - 9719
[5] Weak Maximum Principle for Cooperative Systems: the Degenerate Elliptic Case
Dolcetta, Italo Capuzzo
Vitolo, Antonio
JOURNAL OF CONVEX ANALYSIS, 2021, 28 (02) : 495 - 508
[6] Maximum Principle and generalized principal eigenvalue for degenerate elliptic operators
Berestycki, Henri
Dolcetta, Italo Capuzzo
Porretta, Alessio
Rossi, Luca
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2015, 103 (05): : 1276 - 1293
[7] On the maximum principle for complete second-order elliptic operators in general domains
Vitolo, A
JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 194 (01) : 166 - 184
[8] On pseudomonotone elliptic operators with functional dependence on unbounded domains
Csirik, Mihaly
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (21) : 1 - 15
[9] The Alexandrov-Bakelman-Pucci weak maximum principle for fully nonlinear equations in unbounded domains
Capuzzo-Dolcetta, I
Leoni, F
Vitolo, A
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2005, 30 (12) : 1863 - 1881
[10] On the maximum principle for elliptic operators in weighted spaces
Caso, Loredana
D'Ambrosio, Roberta
BOUNDARY VALUE PROBLEMS, 2014,

← 1 2 3 4 5 →