一类非齐次非线性椭圆方程解的存在性  

Existence of Solutions for a Class of Nonhomogeneous Nonlinear Elliptic Equations

作　　者：田意梅 陈林 Tian Yimei;Chen Lin(College of Mathematics and Statistic,Yili Normal University,Yining,Xinjiang 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《伊犁师范大学学报（自然科学版）》2022年第1期15-21,共7页Journal of Yili Normal University：Natural Science Edition

基　　金：新疆高校科研计划重点项目(XJEDU2016I043).

摘　　要：椭圆型偏微分方程非线性边值问题是重要研究内容之一.研究一类非齐次非线性椭圆方程边值问题,运用Nehair流形方法证明该方程至少存在一个非平凡非负解.The nonlinear boundary value problem of elliptic partial differential equations is one of the important research contents.In this paper,it studies the boundary value problem of a class of non-homogeneous nonlinear elliptic equations,it is proved that the equation has at least one nontrivial nonnegative solution by using the nehair manifold method.

关 键 词：椭圆方程 非齐次非线性 Nehair流形 

分 类 号：O175[理学—数学]