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

被引：0

作者：

Chen, Siyu ^{[1
]}

Santos, Carlos Alberto ^{[2
]}

Yang, Minbo ^{[1
]}

Zhou, Jiazheng ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[2] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, Brazil

来源：

SCIENCE CHINA-MATHEMATICS | 2023年 / 66卷 / 08期

基金：

中国国家自然科学基金;

关键词：

quasilinear Schrodinger equation; singular term; square diffusion term; ELLIPTIC PROBLEMS; POSITIVE SOLUTIONS; SOLITON-SOLUTIONS; DIRICHLET PROBLEM; EXISTENCE; BIFURCATION; CONVECTION; GROWTH;

D O I：

10.1007/s11425-022-2002-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of modified quasilinear Schrodinger equations -Delta u + k/2u Delta u(2) = lambda a(x)u(-alpha) + b(x)u(beta) in Omega with u(x) = 0 on partial derivative Omega, where Omega subset of R-N is a bounded domain with a regular boundary, N >= 3, a and b are bounded mensurable functions, 0 < alpha < 1 < beta < 2* - 1 and k, lambda >= 0 are two parameters. We establish the global existence and multiplicity results of positive solutions in H-0(1)(Omega) boolean AND L-infinity(Omega) for appropriate classes of parameters k and A and coefficients a(x) and b(x).

引用

页码：1789 / 1812

页数：24

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