Open Access Research Article

Local Regularity and Local Boundedness Results for Very Weak Solutions of Obstacle Problems

Gao Hongya1,2*, Qiao Jinjing3 and Chu Yuming4

Author Affiliations

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

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Journal of Inequalities and Applications 2010, 2010:878769 doi:10.1155/2010/878769

Published: 30 March 2010

Abstract

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 .