武汉大学自然科学学报(英文版)2024,Vol.29Issue(3) :257-262.DOI:10.1051/wujns/2024293257

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

GU Mengze GHADIR Shokor
武汉大学自然科学学报(英文版)2024,Vol.29Issue(3) :257-262.DOI:10.1051/wujns/2024293257

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

GU Mengze 1GHADIR Shokor1
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作者信息

  • 1. School of Mathematics and Statistics,Central South University,Changsha 410000,Hunan,China
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Abstract

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.

Key words

singular differential equation/eigenvalue/fundamental gap

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出版年

2024
武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

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影响因子:0.066
ISSN:1007-1202
参考文献量8
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