一类拟线性椭圆方程正解的存在性  

Existence of Positive Solutions for a Class Quasilinear Elliptic Equation

作　　者：郭雅萌 陈林 Guo Yameng;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）》2023年第1期9-17,共9页Journal of Yili Normal University：Natural Science Edition

基　　金：伊犁师范大学博士科研启动基金项目(2017YSBS08).

摘　　要：研究一类拟线性椭圆方程边值问题正解的存在性,通过引入Nehari流形并构造纤维映射,证明了此问题至少存在两个正的弱解.In this paper,we study the existence of positive solutions for a class of quasilinear elliptic boundary value problem.By introducing Nehari manifold and constructing fibering map,we prove that there are at least two positive weak solutions to the problem.

关 键 词：拟线性椭圆方程 NEHARI流形 纤维映射 

分 类 号：O175.2[理学—数学]