Holder regularity for the gradients of solutions of the strong p(x)-Laplacian

Under some assumptions on the continuous function p(x) > 1, we obtain the local C-1,C-alpha regularity of solutions of the strong p(x)-Laplacian -div(vertical bar del u vertical bar(p(x)-2)del u) + vertical bar del u vertical bar(p(x)-2)log(vertical bar del u vertical bar)del u . del p = 0 by using the integral estimates in Campanato spaces. (C) 2011 Elsevier Inc. All rights reserved.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000300206700030&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Mathematics, AppliedMathematicsSCI(E)6ARTICLE21066-107738