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Second order regularity for the p ( x )‐Laplace operator
Author(s) -
Challal S.,
Lyaghfouri A.
Publication year - 2011
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200810285
Subject(s) - mathematics , laplace transform , operator (biology) , order (exchange) , constant (computer programming) , laplace operator , function (biology) , pure mathematics , mathematical analysis , mathematical physics , chemistry , computer science , biochemistry , finance , evolutionary biology , biology , economics , gene , programming language , repressor , transcription factor
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