数学杂志2025，Vol.45Issue(4)：293-306,14.
Cigar孤立子上漂移Laplace算子的多项式算子的特征值不等式
INEQUALITIES FOR EIGENVALUES OF POLYNOMIAL OPERATOR OF THE DRIFTING LAPLACIAN ON THE CIGAR SOLITON
摘要
Abstract
In this paper,we investigate the weighted Dirichlet eigenvalue problem of polyno-mial operator of the drifting Laplacian on the cigar soliton(R2,g,φ)as follows{L2φu-aLφu+bu=λpu,u∈Ω,u=∂u/∂v=0,u∈∂Ω,where ρ is a positive continuous function on Ω,υ denotes the outward unit normal to the boundary∂Ω,and a,b are two nonnegative constants.We establish some universal inequalities for eigenvalues of this problem.关键词
漂移Laplace算子/Cigar孤立子/特征值Key words
drifting Laplacian/Cigar soliton/eigenvalue分类
数理科学引用本文复制引用
袁媛,孙和军..Cigar孤立子上漂移Laplace算子的多项式算子的特征值不等式[J].数学杂志,2025,45(4):293-306,14.基金项目
Supported by National Natural Science Foundation of China(11001130,12272062) （11001130,12272062）
Fundamental Research Funds for the Central Universities(30917011335). （30917011335）
