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

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

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

Abstract

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.