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Open Access

Global Caccioppoli-Type and Poincaré Inequalities with Orlicz Norms

Journal of Inequalities and Applications20102010:727954

Received: 16 July 2009

Accepted: 14 March 2010

Published: 14 March 2010


We obtain global weighted Caccioppoli-type and Poincaré inequalities in terms of Orlicz norms for solutions to the nonhomogeneous -harmonic equation .


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Authors’ Affiliations

Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, USA
Department of Mathematics, Seattle University, Seattle, USA


© R. P. Agarwal and S. Ding. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.