一类带奇异低阶项椭圆型方程的正则性

Regularity of a Class of Elliptic Equations with Singular Lower Order Terms

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摘要本文得到了一类带奇异低阶项椭圆方程的一个正则性结果.方程形式为Lu+ vu=μ,其中L为二阶散度型椭圆算子,v属于某一Morrey空间,μ为一非负Radon 测度. A regularity result of a class of elliptic equations with singular lower term is obtained. The form of the equation is: Lu + vu =u, where L is a second order divergence elliptic operator, v belongs to some Morrey space and u, is a nonnegative Radon measure.

作者金永阳

机构地区浙江工业大学应用数学系

出处《数学学报（中文版）》 SCIE CSCD 北大核心 2003年第1期143-152,共10页 Acta Mathematica Sinica：Chinese Series

基金国家自然科学基金资助项目(19971076) 浙江省教育厅自然科学基金资助项目(20020248)

关键词奇异低阶项椭圆型方程正则性 MORREY空间 Kato类 Uniformly elliptic condition Morrey space Kato class

分类号 O175.25 [理学—基础数学]

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一类带奇异低阶项椭圆型方程的正则性

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