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Second order regularity for the p(x)-Laplace operator

✍ Scribed by S. Challal; A. Lyaghfouri


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
130 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis


Laplace operator, variable exponent Sobolev spaces, second derivatives MSC (2010) 35Bxx, 35Jxx

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.


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