banach -空间值Finsler γ-Laplacian的改进可微性

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2023-10-24 DOI:10.5802/crmath.474

Max Goering, Lukas Koch

引用次数: 0

摘要

我们得到了在σ-凸，τ-光滑Banach空间上定义的Banach空间值Finsler γ-Laplacian解的改进分数可微性。我们考虑的算子是非线性和非常退化的椭圆型。我们的结果已经是新的了。

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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A note on improved differentiability for the Banach-space valued Finsler γ-Laplacian

We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler γ-Laplacian defined on a σ-convex, τ-smooth Banach space. The operators we consider are non-linear and very degenerately elliptic. Our results are new already in the ℝ-valued setting.

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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.