Second order regularity for solutions to anisotropic degenerate elliptic equations

被引：1

作者：

Baratta, Daniel ^{[1
]}

Muglia, Luigi ^{[1
]}

Vuono, Domenico ^{[1
]}

机构：

[1] UNICAL, Dipartimento Matemat & Informat, Ponte Pietro Bucci 31B, I-87036 Arcavacata Di Rende, Cosenza, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 435卷

关键词：

Anisotropic elliptic equations; Second-order estimates; Regularity; POSITIVE SOLUTIONS; ZYGMUND THEORY; GRADIENT; MONOTONICITY; BOUNDEDNESS;

D O I：

10.1016/j.jde.2025.113250

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider solutions to degenerate anisotropic elliptic equations in order to study their regularity. In particular we establish second-order estimates and enclose regularity results for the stress field. All our results are new even in the euclidean case. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：29

共 42 条

[1]

[Anonymous], 1975, Sobolev Spaces

[2]

Antonini CA, 2023, Arxiv, DOI arXiv:2307.03052

[3] Interior regularity results for inhomogeneous anisotropic quasilinear equations [J].