Uniform Lipschitz estimates up to the boundary for singular perturbation problem for some nonlinear elliptic PDEs with unbounded ingredients

被引：0

作者：

Braga, J. Ederson M. ^{[1
]}

Carneiro, J. Gleison ^{[2
]}

Moreira, Diego R. ^{[1
]}

机构：

[1] Univ Fed Ceara, Dept Matemat, Campus Pici,Bloco 914, BR-60455760 Fortaleza, CE, Brazil

[2] Univ Fed Ceara, Dept Matemat, Cidade Univ, BR-62900000 Russas, CE, Brazil

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 232卷

关键词：

Singular perturbation problem; Lipschitz regularity; Nonlinear operators; Boundary estimates; VISCOSITY SOLUTIONS; REGULARITY;

D O I：

10.1016/j.na.2023.113283

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove uniform up to the boundary gradient estimates for one phase nonlinear inhomogeneous singular perturbation problems with unbounded measurable ingre-dients governed by fully nonlinear elliptic equations. We present similar results for quasilinear PDEs with bounded RHS. Our proof is based on the Lipschitz regularity up to the boundary for free boundary problems (FBP) found in Braga and Moreira (2022).& COPY; 2023 Elsevier Ltd. All rights reserved.

引用

页数：19

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