An alternative approach to the Holder continuity of solutions to some elliptic equations

DÜZGÜN, FATMA; Marcellini, Paolo; Vespri, Vincenzo

doi:10.1016/j.na.2013.08.018

An alternative approach to the Holder continuity of solutions to some elliptic equations

DÜZGÜN F. G., Marcellini P., Vespri V.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.94, pp.133-141, 2014 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 94
Publication Date: 2014
Doi Number: 10.1016/j.na.2013.08.018
Journal Name: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.133-141
Open Archive Collection: AVESIS Open Access Collection
Hacettepe University Affiliated: Yes

We give an alternative and self contained proof of the Holder continuity of locally bounded solutions to some elliptic equations, including the equation associated with the p-Laplacian operator. We combine the techniques introduced by De Giorgi and Moser with a 1-dimensional Poincare inequality.

We give an alternative and self contained proof of the Holder continuity of locally bounded solutions to some elliptic equations, including the equation associated with the p-Laplacian operator. We combine the techniques introduced by De Giorgi and Moser with a 1-dimensional Poincare inequality. (C) 2013 Elsevier Ltd. All rights reserved.