Second order regularity for solutions to anisotropic degenerate elliptic equations

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-03-24 DOI:10.1016/j.jde.2025.113250

Daniel Baratta, Luigi Muglia, Domenico Vuono

引用次数: 0

Abstract

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.

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各向异性退化椭圆方程解的二阶正则性

我们考虑了退化各向异性椭圆方程的解，以研究它们的正则性。我们特别建立了二阶估计，并附上了应力场的正则性结果。即使在欧几里得情况下，我们的所有结果也都是新的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics