Second order regularity for the p(x)‐Laplace operator
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Date
2011-05-13
Authors
Challal, S
Lyaghfouri, A
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Abstract
In this paper, we establish second order regularity for the p(x)-Laplace operator. This generalizes classical results known when the function p(x) is equal to some constant p > 1.
Description
This is the pre-peer reviewed version of the following article: Challal, S. and Lyaghfouri, A. (2011), Second order regularity for the p(x)-Laplace operator. Math. Nachr., 284: 1270-1279, which has been published in final form at https://doi.org/10.1002/mana.200810285. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
Keywords
Applied Mathematics, Pure Mathematics, Mathematical Sciences, p(x)-Laplace operator, Variable exponent Sobolev spaces
Citation
Challal, S. and Lyaghfouri, A. (2011), Second order regularity for the p(x)-Laplace operator. Math. Nachr., 284: 1270-1279. https://doi.org/10.1002/mana.200810285