变指数A-调和方程弱解的梯度的局部Hölder连续性

数学物理学报 ›› 2015, Vol. 35 ›› Issue (4): 656-667.

变指数A-调和方程弱解的梯度的局部Hölder连续性

佟玉霞^1,2, 郑神州¹, 于海燕³

1 北京交通大学理学院, 北京 100044;
2 华北理工大学理学院, 河北唐山 063009;
3 内蒙古民族大学数学学院, 内蒙古通辽 028043

收稿日期:2014-05-26 修回日期:2015-01-21 出版日期:2015-08-25 发布日期:2015-08-25
作者简介:佟玉霞, tongyuxia@126.com
基金资助:
国家自然科学基金(11371050)、河北省自然科学基金(A2013209278)和华北理工大学科研基金(z201219)资助

der Continuity of the Gradients of Weak Solutions to A-Harmonic Equation with Variable Exponents

Tong Yuxia^1,2, Zheng Shenzhou¹, Yu Haiyan³

1 Department of Mathematics, Beijing Jiaotong University, Beijing 100044;
2 College of Science, North China University of Science and Technology, Hebei Tangshan 063009;
3 College of Mathematics, Inner Mongolia University for the Nationalities, Tongliao, Inner Mongolia 028043

Received:2014-05-26 Revised:2015-01-21 Online:2015-08-25 Published:2015-08-25

摘要/Abstract

摘要：

考虑变指数A-调和方程divA(x,▽u)=B(x,▽u), 给出其弱解的梯度的局部Hölder连续性.

关键词: lder连续, 椭圆方程, 可变指数

Abstract:

This paper mainly concerns A-harmonic equation div A(x,▽u)=B(x,▽u) with variable exponents. We give local Hölder continuity of the gradients of weak solutions.

Key words: der continuity, Elliptic equation, Variable exponents

中图分类号:

O175.5

佟玉霞, 郑神州, 于海燕. 变指数A-调和方程弱解的梯度的局部Hölder连续性[J]. 数学物理学报, 2015, 35(4): 656-667.

Tong Yuxia, Zheng Shenzhou, Yu Haiyan. der Continuity of the Gradients of Weak Solutions to A-Harmonic Equation with Variable Exponents[J]. Acta mathematica scientia,Series A, 2015, 35(4): 656-667.

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