R^(N)上一类拟线性椭圆型方程广义解的多重性  

Multiplicity of Generalized Solutions for a Class of Quasilinear Elliptic Equations in R^(N)

作　　者：贾高[1] 陈洁 张龙杰 JIA Gao;CHEN Jie;ZHANG Longjie(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China;Xiangyifurong Second Middle School,Changsha 410016,China;Graduate School of Mathematical Sciences,The University of Tokyo,Tokyo 153-8914,Japan)

机构地区：[1]上海理工大学理学院,上海200093 [2]湘一芙蓉第二中学,长沙410016 [3]东京大学数学科学研究生院,日本东京153-8914

出　　处：《数学年刊（A辑）》2020年第4期429-448,共20页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11171220)的资助。

摘　　要：本文在R^(N)上研究一类拟线性椭圆型方程广义解的多重性.借助下半连续泛函的不光滑临界点理论,得到了方程的解集是无穷和无界的.This paper deals with the multiplicity of generalized solutions for a class of quasilinear elliptic equations in R^(N).By using an approach of abstract critical point theory for lower semicontinuous functionals,it is proved th&t the set of solutions is infinite and unbounded.

关 键 词：广义解 下半连续泛函 不光滑临界点理论 

分 类 号：O175.3[理学—数学]