Global multiplicity of solutions to a defocusing quasilinear Schrodinger equation with the singular term

作     者：Siyu Chen Carlos Alberto Santos Minbo Yang Jiazheng Zhou 

作者机构：Department of MathematicsZhejiang Normal UniversityJinhua 321004China Departamento de MatematicaUniversidade de BrasiliaBraslia 70910-900Brazil 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2023年第66卷第8期

页      面：1789-1812页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq/Brazil) (Grant No.311562/2020-5) supported by National Natural Science Foundation of China (Grant Nos.11971436 and 12011530199) Natural Science Foundation of Zhejiang (Grant Nos.LZ22A010001 and LD19A010001) supported by Coordenacao de Aperfei coamento de Pessoal de Nível Superior (CAPES/Brazil) (Grant No.2788/2015-02)。 

主　　题：quasilinear Schrodinger equation singular term square diffusion term 

摘      要：We consider a class of modified quasilinear Schrodinger equations-△u+k/2u△u^(2)=λα(x)u^(-α)+b(x)u^(β) in Ω with u(x)=0 on■Ω,where Ω■R^(N)is a bounded domain with a regular boundary,N≥3,a and b are bounded mensurable functions,0α1β2*-1 and k,λ≥0 are two parameters.We establish the global existence and multiplicity results of positive solutions in H^(1)_(0)(Ω)∩L^(∞)(Ω)for appropriate classes of parameters k andλand coefficients a(x)and b(x).