一个具退化强制和零阶项的拟线性方程解的存在性  

Existence of solution to a quasi-linear equation with degenerate coercivity and zero order term

作　　者：李仲庆[1] 付军[1] LI Zhong-qing;FU Jun(College of Mathematics,Jilin Normal University,Siping 136000,China)

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《东北师大学报（自然科学版）》2018年第3期33-37,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金青年基金资助项目(11401252);吉林师范大学博士科研启动资金资助项目(2015006);四平市科技发展计划项目(2016055)

摘　　要：研究了一类具退化强制和零阶项的p-Lapalce方程.通过选取适当的检验函数,借助于De Giorgi迭代技术且在适当的右端项可积条件下证明了弱解的L~∞正则性,并且得到弱解的存在性.A class of p-Laplace equation with degenerate coercivity and zero order term is studied.With the help of a new test function,L∞estimate for its weak solution is obtained by means of De Giorgi iteration technique under some appropriate integrability of the data in the right-hand side.In the end,the existence of weak solution is given.

关 键 词：L^∞估计 拟线性偏微分方程 非强制性 DE Giorgi迭代 

分 类 号：O175.8[理学—数学]