二阶椭圆方程的下解及Holder连续的一个新证明(英文)  

Subsolution and a Novel Proof of Holder's Continuity for Elliptic Equations of Second Order

作　　者：李彬[1] 杨晗[1] 沈洁琼[1] 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《应用数学》2010年第4期724-730,共7页Mathematica Applicata

摘　　要：借助于检试函数和迭代技术,在系数弱光滑性假设条件下,本文研究了二阶椭圆方程的下解和正则性.进一步借助于局部估计和Poincare不等式,我们给出了Holder连续的一个新证明.By using the test functions and technique of iteration,the paper focus on the subsolution and regularity for elliptic equations of second order under the weak smoothness assumption on the coefficients.Furthermore,we shall give a novel proof of Holder＇s continuity that relies on the local estimate and the Poincare inequality.

关 键 词：下解 正则性 HOLDER连续 检试函数 迭代法 POINCARE不等式 

分 类 号：O175.25[理学—数学]