Open Access

Local Regularity Results for Minima of Anisotropic Functionals and Solutions of Anisotropic Equations

Journal of Inequalities and Applications20072008:835736

DOI: 10.1155/2008/835736

Received: 13 July 2007

Accepted: 21 November 2007

Published: 21 November 2007

Abstract

This paper gives some local regularity results for minima of anisotropic functionals https://static-content.springer.com/image/art%3A10.1155%2F2008%2F835736/MediaObjects/13660_2007_Article_1868_IEq1_HTML.gif https://static-content.springer.com/image/art%3A10.1155%2F2008%2F835736/MediaObjects/13660_2007_Article_1868_IEq2_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2F2008%2F835736/MediaObjects/13660_2007_Article_1868_IEq3_HTML.gif and for solutions of anisotropic equations https://static-content.springer.com/image/art%3A10.1155%2F2008%2F835736/MediaObjects/13660_2007_Article_1868_IEq4_HTML.gif , which can be regarded as generalizations of the classical results.

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Authors’ Affiliations

(1)
College of Mathematics and Computer Science, Hebei University
(2)
Study Center of Mathematics of Hebei Province
(3)
Department of Mathematics, Chengde Teachers College for Nationalities
(4)
Faculty of Science, Huzhou Teachers College

Copyright

© Gao Hongya et al. 2008

This article is published under license to BioMed Central Ltd. 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.