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

Özet

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.