Second order regularity for solutions to anisotropic degenerate elliptic equations

IF 2.4 2区 数学 Q1 MATHEMATICS
Daniel Baratta, Luigi Muglia, Domenico Vuono
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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.
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。
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来源期刊
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
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