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, cilt.94, ss.133-141, 2014 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 94
Basım Tarihi: 2014
Doi Numarası: 10.1016/j.na.2013.08.018
Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.133-141
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Hacettepe Üniversitesi Adresli: Evet

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.

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.