Work

Dirichlet eigenvalue problems with gradient term operators on the exterior of a ball

Year: 2024

Type: article

Abstract: In this paper, we study the Dirichlet eigenvalue problems for the operator L with the gradient term on the off-sphere region. We prove the existence, simplicity, and isolation of the first eigenvalue of the operator L, establish an increasing relation between the eigenvalue and the radius R, and further discuss the boundedness of the eigenfunction.

Source: Scientia Sinica Mathematica

DOI: 10.1360/ssm-2024-0174

Authors: Cheng Min, Fang Fei, Tan Zhong

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4405651544

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Cites: 17

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Related to: 10