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可控增长下Dini连续系数的非线性椭圆方程组弱解最优正则性
  • ISSN号：0438-0479
  • 期刊名称：《厦门大学学报：自然科学版》
  • 时间：0
  • 分类：O175.24[理学—数学;理学—基础数学]
  • 作者机构：[1]龙岩学院数学与计算机科学学院,福建龙岩364012
  • 相关基金：国家自然科学基金项目（10976026）; 福建省教育厅项目（JK2009045）
作者： 邱亚林[1]
关键词： 非线性椭圆方程组, 可控增长条件, 最优内部正则性, A-调和逼近技巧, nonlinear elliptic systems, controllable growth condition, optimal interior partial regularity, A-harmonic approximation technique
中文摘要：

研究散度型有Dini连续系数的非线性椭圆方程组弱解正则性,利用A-调和逼近技巧,证明了在可控增长条件下非线性椭圆方程组的弱解的内部正则性,并且当系数具有Hlder连续性时,弱解梯度的Hlder指数是最优的.

英文摘要：

In this article we consider nonlinear elliptic systems of divergence type with Dini continuous coefficients.The author use a new method introduced by Duzaar and Grotowski,proving partial regularity for weak soluteions,based on a generalization of the technique of harmonic approximation and directly establish the optimal Hlder exponent for the derivative of a weak solution on its regular set.

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期刊信息
  • 《厦门大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:厦门大学
  • 主编：谢素原
  • 地址：厦门市思明南路422号厦门大学嘉庚三 817-819室
  • 邮编：361005
  • 邮箱：jxmu@xmu.edu.cn
  • 电话：0592-2180367 2187731
  • 国际标准刊号：ISSN：0438-0479
  • 国内统一刊号：ISSN：35-1070/N
  • 邮发代号:34-8
  • 获奖情况:
  • 多次被评为全国、华东地区、福建省的优秀科技期刊,2001年入选国家新闻出版总署评定的"中国期刊方阵",2003年获国家新闻出版总署颁发的"第二届国家科技...,2006年获国家教育部科技司颁发的"首届中国高校精...
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  • 被引量:16575