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  • Research Article
  • 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:


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


  • Full Article
  • Publisher Note
  • Orlicz Norm

Publisher note

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Authors’ Affiliations

Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
Department of Mathematics, Seattle University, Seattle, WA 98122, 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.