摘要
该文研究了一类具低阶项和退化强制的椭圆方程的边值问题.借助于De Giorgi迭代技术和Boccardo-Brezis的检验函数,得到了解的L∞估计.利用L∞界证明了方程解的存在性.
A boundary value problem to a class of elliptic equations with lower order terms and degenerate coercivity is studied in this paper. With help of De Giorgi iterative technique and Boccardo-Brezis's test function, the L∞ estimate to weak solutions of the problem is obtained. Based upon the uniform L∞ bound, the existence of bounded solution is proved.
作者
李仲庆
高文杰
Zhongqing Li;Wenjie Gao(School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025;School of Mathematics, Jilin University, Changchun 130012)
出处
《数学物理学报(A辑)》
CSCD
北大核心
2019年第3期529-534,共6页
Acta Mathematica Scientia
基金
国家自然科学基金(11401252)
贵州财经大学引进人才科研启动基金(2018YJ26)~~
关键词
椭圆方程
退化强制
低阶项
L∞正则性
Elliptic equations
Degenerate coercivity
Lower order terms
L∞ regularity