数学杂志2024，Vol.44Issue(2)：113-125,13.
Cigar孤立子上加权散度型椭圆算子的特征值估计
ESTIMATES FOR EIGENVALUES OF THE ELLIPTIC OPERATOR IN WEIGHTED DIVERGENCE FORM ON THE CIGAR SOLITON
摘要
Abstract
In this paper,we investigate the Dirichlet eigenvalue problem of the elliptic oper-ator in weighted divergence form(L)A,f on the cigar soliton((R)2,g,f)as follows{(L)A,fu+Vu=λρu,in Ω,u=0,on ∂Ω,where V is a non-negative continuous function and ρ is a positive continuous function on Ω.We establish some inequalities for eigenvalues of this problem.关键词
cigar孤立子/加权散度型椭圆算子/特征值Key words
cigar soliton/elliptic operator in weighted divergence form/eigenvalue分类
数理科学引用本文复制引用
孙玉涵,孙和军..Cigar孤立子上加权散度型椭圆算子的特征值估计[J].数学杂志,2024,44(2):113-125,13.基金项目
Supported by National Natural Science Foundation of China(11001130) （11001130）
Fun-damental Research Funds for the Central Universities(30917011335). （30917011335）
