Integrability for Solutions of Anisotropic Obstacle Problems

Correspondence should be addressed to Hongya Gao, [email protected] Received 30 March 2012; Revised 26 April 2012; Accepted 23 May 2012 Academic Editor: Martino Bardi Copyright q 2012 Hongya Gao et al. 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. This paper deals with anisotropic obstacle problem for the A-harmonic equation ∑n i 1 Di ai x,Du x 0. An integrability result is given under suitable assumptions, which show higher integrability of the boundary datum, and the obstacle force solutions u have higher integrability as well.