Regularity for P-Harmonic Type Systems with the Gradients below the Controllable Growth
Regularity for P-Harmonic Type Systems with the Gradients below the Controllable Growth作者机构：Department of Mathematics Beijing Jiaotong University Beijing 100044 P. R. China
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)
年 卷 期：2006年第22卷第6期
页 面：1757-1766页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：Supported by Beijing Jiaotong University Science Research Foundation(2004SM056)
主 题：controllable growth p-harmonic systems full regularity
摘 要：In this paper, we shall establish that each weak solution of p-harmonic type systems with the gradients below the controllable growth belongs to, Holder continuity spaces with any HSlder exponent α∈ [0, 1）. Furthermore, we can obtain that the gradients of the corresponding weak solutions also belong to locally Hoelder continuity spaces with some Hoelder exponent. Keywords controllable growth, p-harmonic systems, full regularity MR（2000） Subject Classification 35J60, 35B65
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