首页|The Eigenvalue Properties of a Kind of Singular Differential Equations in 3-Dimensional Space
The Eigenvalue Properties of a Kind of Singular Differential Equations in 3-Dimensional Space
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In this paper,we consider the eigenvalue problem of the singular differential equation-△ui-h/|x|2ui+V(x)ui=λi(V,h)ui 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 con-stant}.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.
singular differential equationeigenvaluefundamental gap
GU Mengze、GHADIR Shokor
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School of Mathematics and Statistics,Central South University,Changsha 410000,Hunan,China
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