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  

Optimal Interior Partial Regularity for Nonlinear Elliptic Systems with Dini Continuous Coefficients Under Controllable Growth Condition

作　　者：邱亚林[1] 

机构地区：[1]龙岩学院数学与计算机科学学院,福建龙岩364012

出　　处：《厦门大学学报（自然科学版）》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)

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.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.

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 

分 类 号：O175.24[理学—数学]