Challal, SLyaghfouri, A2025-03-202025-03-202011-05-13Challal, 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.2008102850025-584X1522-2616https://doi.org/10.1002/mana.200810285https://hdl.handle.net/10315/42679This 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.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.enApplied MathematicsPure MathematicsMathematical Sciencesp(x)-Laplace operatorVariable exponent Sobolev spacesArticle