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关于沿边界穿孔区域上的非线性泛函的高可积性

IF 1.4 3区 数学 Q1 MATHEMATICS
Analysis and Mathematical Physics Pub Date : 2025-05-09 DOI:10.1007/s13324-025-01064-8
Gregory A. Chechkin
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引用次数: 0

摘要

我们证明了沿边界穿孔区域的非线性最小化问题（即非线性泛函的最小化）的解的高可积性（Boyarsky-Meyers估计）。
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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On higher integrability of minimizer to a nonlinear functional in domains perforated along the boundary

We proved higher integrability (the Boyarsky–Meyers estimate) of solutions to nonlinear minimizing problems (i.e. for minimizers of nonlinear functionals) in domains perforated along the boundary.

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来源期刊
Analysis and Mathematical Physics
Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.70
自引率
0.00%
发文量
122
期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.
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