Local Regularity and Local Boundedness Results for Very Weak Solutions of Obstacle Problems
1 College of Mathematics and Computer Science, Hebei University, Baoding 071002, China
2 Hebei Provincial Center of Mathematics, Hebei Normal University, Shijiazhuang 050016, China
3 College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China
4 Faculty of Science, Huzhou Teachers College, Huzhou, Zhejiang 313000, China
Journal of Inequalities and Applications 2010, 2010:878769 doi:10.1155/2010/878769Published: 30 March 2010
Local regularity and local boundedness results for very weak solutions of obstacle problems of the -harmonic equation are obtained by using the theory of Hodge decomposition, where .