Mixed boundary value problems for fully nonlinear degenerate or singular equations

被引：0
|
作者：
Birindelli, Isabeau [1 ]
Demengel, Francoise [2 ]
Leoni, Fabiana [1 ]
机构：
[1] Sapienza Univ Roma, Dipartimento Matemat, Rome, Italy
[2] Univ Cergy Pontoise, Dept Math, Cergy, France
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2022年 / 223卷
关键词：
Mixed boundary conditions; Fully nonlinear singular or degenerate; elliptic equations; Global holder estimates; VISCOSITY SOLUTIONS; MAXIMUM PRINCIPLE; ELLIPTIC-EQUATIONS; P-LAPLACIAN; REGULARITY; NEUMANN; EIGENVALUE;
D O I：
10.1016/j.na.2022.113006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove existence, uniqueness and regularity results for mixed boundary value problems associated with fully nonlinear, possibly singular or degenerate elliptic equations. Our main result is a global Holder estimate for solutions, obtained by means of the comparison principle and the construction of ad hoc barriers. The global Holder estimate immediately yields a compactness result in the space of solutions, which could be applied in the study of principal eigenvalues and principal eigenfunctions of mixed boundary value problems. (c) 2022 Elsevier Ltd. All rights reserved.
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