International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 549285, 6 pages
http://dx.doi.org/10.1155/2012/549285
Research Article

Integrability for Solutions of Anisotropic Obstacle Problems

Hongya Gao, Yanjie Zhang, and Shuangli Li

College of Mathematics and Computer Science, Hebei University, Baoding 071002, China

Received 30 March 2012; Revised 26 April 2012; Accepted 23 May 2012

Academic Editor: Martino Bardi

Copyright © 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.

Abstract

This paper deals with anisotropic obstacle problem for the 𝒜-harmonic equation ∑i=1nDi(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.