The Eigenvalue Properties of a Kind of Singular Differential Equations in 3-Dimensional Space  

作　　者：GU Mengze GHADIR Shokor 

机构地区：[1]School of Mathematics and Statistics,Central South University,Changsha 410000,Hunan,China

出　　处：《Wuhan University Journal of Natural Sciences》2024年第3期257-262,共6页武汉大学学报（自然科学英文版）

摘　　要：In this paper,we consider the eigenvalue problem of the singular differential equation-Δu_(i)-h/|x|^(2) u_(i)+V(x)u_(i)=λ_(i)(V,h)u_(i) in a bounded open ball with Dirichlet boundary condition in 3-dimensional space,where,V∈V={a∈L^(∞)(Ω)|0≤a≤M a.e.,M is a given constant}.And we have made a detailed characterization of the weak solution space.Furthermore,the existence of the minimum eigenvalue and the fundamental gap are provided.

关 键 词：singular differential equation EIGENVALUE fundamental gap 

分 类 号：O231.4[理学—运筹学与控制论]