MORREY REGULARITY OF SOLUTIONS TO DEGENERATE ELLIPTIC EQUATIONS IN R^n

ChenYemin

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MORREY REGULARITY OF SOLUTIONS TO DEGENERATE ELLIPTIC EQUATIONS IN R^n

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In this paper,we study the Morrey regularity of solutions to the degenerate elliptic equation-(aijuxi)xj=-(fj)xj in R^n .For this purpose,we introduce four weighted Morrey spaces in R^n.

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来源
《偏微分方程：英文版》|2003年第2期|127-134|共8页
作者
ChenYemin;
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作者单位

PartnerGroupofMPIforMathematics,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing,100080,China;

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原文格式 PDF
正文语种 chi
中图分类椭圆型方程;
关键词
正则性; 解; 退化椭圆方程; 加权Morrey空间; 加权Poincare不等式;

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专利

1. A　NOTE　ON　REGULARITY　AND　EXISTENCE　OF　SOLUTIONS　FOR　A　CLASS　OF　NON－UNIFORMLY　DEGENERATE　ELLIPTIC　EQUATIONS [J] . LI JUNJIE(Dept.of Math.Zhejiang UniversityHangzhou310027) . 高校应用数学学报：英文版（B辑） . 1994,第1期
2. The differentiability of solutions for elliptic equations which degenerate on part of the boundary of a convex domain [J] . SONG Jia-xin ,CAO Yi . 高校应用数学学报B辑 . 2018,第4期
3. EXISTENCE AND REGULARITY OF POSITIVE SOLUTIONS OF THE ELLIPTIC EQUATIONS INVOLVING CRITICAL NONLINEAR AND SUBLINEAR [J] . 刘宪高 . 四川师范大学学报：自然科学版 . 1991,第1期
4. Regularity of Attractor for 3D Derivative Ginzburg-Landau Equation [C] . Shujuan Lü ,Wang Chong ,Qishao Lu . 第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议 . 2009
5. Positive solutions of a singular Dirichlet problem to nonlinear elliptic equations: Existence, uniqueness and boundary behavior [A] . 史晓琳 . 2013

MORREY REGULARITY OF SOLUTIONS TO DEGENERATE ELLIPTIC EQUATIONS IN R^n

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