Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 727954, 27 pages
doi:10.1155/2010/727954
Research Article

Global Caccioppoli-Type and Poincaré Inequalities with Orlicz Norms

Ravi P. Agarwal1 and Shusen Ding2

1Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA
2Department of Mathematics, Seattle University, Seattle, WA 98122, USA

Received 16 July 2009; Revised 1 December 2009; Accepted 14 March 2010

Academic Editor: Jozsef Szabados

Copyright © 2010 Ravi P. Agarwal and Shusen Ding. 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.

Abstract

We obtain global weighted Caccioppoli-type and Poincaré inequalities in terms of Orlicz norms for solutions to the nonhomogeneous A-harmonic equation d⋆A(x,dω)=B(x,dω).