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Hlder连续性时,弱解梯度的Hlder指数是最优的.
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 Hlder exponent for the derivative of a weak solution on its regular set.
出处
《厦门大学学报(自然科学版)》
CAS
CSCD
北大核心
2011年第3期501-508,共8页
Journal of Xiamen University:Natural Science
基金
国家自然科学基金项目(10976026)
福建省教育厅项目(JK2009045)
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