Gradient higher integrability for singular parabolic double-phase systems

Nonlinear Differential Equations and Applications (NoDEA) Pub Date : 2024-03-15 DOI:10.1007/s00030-024-00928-5

引用次数: 0

Abstract

We prove a local higher integrability result for the gradient of a weak solution to parabolic double-phase systems of p-Laplace type when \(\tfrac{2n}{n+2}< p\le 2\) . The result is based on a reverse Hölder inequality in intrinsic cylinders combining p-intrinsic and (p, q)-intrinsic geometries. A singular scaling deficits affects the range of q.

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奇异抛物线双相系统的梯度高积分性

摘要我们证明了当 \(\tfrac{2n}{n+2}< p\le 2\) 时 p-Laplace 型抛物线双相系统弱解的梯度的局部高可积分性结果。该结果基于本征圆柱体中的反向霍尔德不等式，结合了 p- 本征和 (p, q) - 本征几何。奇异的缩放缺陷影响了 q 的范围。

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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Nonlinear Differential Equations and Applications (NoDEA)

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