Fatma Gamze Düzgün ^[1], Paolo Marcellini ^[2] and Vincenzo Vespri ^[2]

Space expansion for a solution of an anisotropic p-Laplacian equation by using a parabolic approach

Pages: 93-111
Received: 29 April 2013   
Accepted in revised form: 5 September 2013
Mathematics Subject Classification (2010): 35J70, 35J92, 35B65.

Keywords: Degenerate elliptic equations, anisotropic p-Laplacian, quantitative estimates.
Authors addresses:
[1] : Department of Mathematics, Hacettepe University, 06800, Beytepe, Ankara, Turkey
[2] : Dipartimento di Matematica e Informatica "U. Dini", Università degli Studi di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy

Abstract: In this study we show that a technique introduced in the parabolic setting works also in the elliptic context. More precisely we prove a space expansion of positivity for solutions of an elliptic equation with anisotropic growth.

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