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一类具低阶项和退化强制的椭圆方程的有界弱解 被引量:2

Bounded Weak Solutions to an Elliptic Equation with Lower Order Terms and Degenerate Coercivity
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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
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