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 

机构地区：[1]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China [2]Departamento de Matematica,Universidade de Brasilia,Braslia 70910-900,Brazil

出　　处：《Science China Mathematics》2023年第8期1789-1812,共24页中国科学：数学（英文版）

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)。

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,0<α<1<β<2*-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).

关 键 词：quasilinear Schrodinger equation singular term square diffusion term 

分 类 号：O175.29[理学—数学]