High regularity of the solution to the singular elliptic p(.)-Laplacian system

被引：1

作者：

Crispo, Francesca ^{[1
]}

Grisanti, Carlo R. ^{[2
]}

机构：

[1] Univ Campania L Vanvitelli, Dipartimento Matemat & Fis, Via Vivaldi 43, I-81100 Caserta, Italy

[2] Univ Pisa, Dipartimento Matemat, Via F Buonarroti 1c, I-56127 Pisa, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 190卷 / 190期

关键词：

p(x)-Laplacian system; Higher integrability; Global regularity; Variable exponents spaces; ELECTRORHEOLOGICAL FLUIDS; DIFFERENTIAL-EQUATIONS; BOUNDARY; UNIQUENESS; EXISTENCE; GRADIENT;

D O I：

10.1016/j.na.2019.111603

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the regularity properties of solutions to the non-homogeneous singular p(x)-Laplacian system in a bounded domain of R-n. Under suitable restrictions on the range of p(x), we construct a W-2, r solution, with r > n, that implies the Holder continuity of the gradient. Moreover, assuming just p(x) is an element of (1, 2) we prove that the second derivatives belong to L-2. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：15

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