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.
引用
收藏
页数：22
相关论文
共 50 条
  • [21] SINGULAR NEUMANN BOUNDARY PROBLEMS FOR A CLASS OF FULLY NONLINEAR PARABOLIC EQUATIONS IN ONE DIMENSION
    Kagaya, Takashi
    Liu, Qing
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 53 (04) : 4350 - 4385
  • [22] BOUNDARY VALUE PROBLEMS FOR SINGULAR ELLIPTIC EQUATIONS
    Nguyen Hoang Loc
    Schmitt, Klaus
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (02) : 555 - 572
  • [23] Existence results for boundary value problems associated with singular strongly nonlinear equations
    Stefano Biagi
    Alessandro Calamai
    Francesca Papalini
    [J]. Journal of Fixed Point Theory and Applications, 2020, 22
  • [24] Existence results for boundary value problems associated with singular strongly nonlinear equations
    Biagi, Stefano
    Calamai, Alessandro
    Papalini, Francesca
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (03)
  • [25] Boundary value problems associated with singular strongly nonlinear equations with functional terms
    Biagi, Stefano
    Calamai, Alessandro
    Marcelli, Cristina
    Papalini, Francesca
    [J]. ADVANCES IN NONLINEAR ANALYSIS, 2021, 10 (01) : 684 - 706
  • [26] Singular Positone and Semipositone Boundary Value Problems of Nonlinear Fractional Differential Equations
    Yuan, Chengjun
    Jiang, Daqing
    Xu, Xiaojie
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009
  • [27] Schrödinger equations with singular potentials: linear and nonlinear boundary value problems
    Moshe Marcus
    Phuoc-Tai Nguyen
    [J]. Mathematische Annalen, 2019, 374 : 361 - 394
  • [28] Dirichlet Boundary Conditions for Degenerate and Singular Nonlinear Parabolic Equations
    Fabio Punzo
    Marta Strani
    [J]. Potential Analysis, 2017, 47 : 151 - 168
  • [29] Dirichlet Boundary Conditions for Degenerate and Singular Nonlinear Parabolic Equations
    Punzo, Fabio
    Strani, Marta
    [J]. POTENTIAL ANALYSIS, 2017, 47 (02) : 151 - 168
  • [30] A note on singular nonlinear boundary value problems
    Xu, X
    Ma, JP
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 293 (01) : 108 - 124
12345