Optimal partial regularity of very weak solutions to nonhomogeneous A-harmonic systems

详细信息    查看全文

• 作者：Qing Zhao ; Shuhong Chen
• 关键词：nonhomogeneous A ; harmonic systems ; very weak solution ; optimal partial regularity ; Hodge decomposition ; A ; harmonic approximation technique
• 刊名：Journal of Inequalities and Applications
• 出版年：2017
• 出版时间：December 2017
• 年：2017
• 卷：2017
• 期：1
• 全文大小：1452KB
• 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1029-242X
• 卷排序：2017

文摘

We study partial regularity of very weak solutions to some nonhomogeneous A-harmonic systems. To obtain the reverse Hölder inequality of the gradient of a very weak solution, we construct a suitable test function by Hodge decomposition. With the aid of Gehring’s lemma, we prove that these very weak solutions are weak solutions. Further, we show that these solutions are in fact optimal Hölder continuity based on A-harmonic approximation technique.