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Second order regularity for the p(x)‐Laplace operator |
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| Authors: | S. Challal A. Lyaghfouri |
| Affiliation: | Fields Institute, 222 College Street, Toronto M5T 3J1, Canada, Fax: +1‐416 348 9385 |
| Abstract: | In this paper, we establish second order regularity for the p(x)‐Laplace operator. This generalizes classical results known when the function p(.) is equal to some constant p > 1. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim |
| Keywords: | p(x)‐Laplace operator variable exponent Sobolev spaces second derivatives MSC (2010) 35Bxx 35Jxx |