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

作　　者：孙玉涵 孙和军[1] SUN Yu-han;SUN He-jun(School of Mathematics and Statistics,Nanjing University of Science and Technology,Nanjing 210014,China)

机构地区：[1]南京理工大学数学与统计学院,江苏南京210094

出　　处：《数学杂志》2024年第2期113-125,共13页Journal of Mathematics

基　　金：National Natural Science Foundation of China(11001130);Fundamental Research Funds for the Central Universities(30917011335)。

摘　　要：本文研究了cigar孤立子(R 2,g,f)上加权散度型椭圆算子LA,f的如下Dirichlet特征值问题:{LA,f u+V u=λρu,inΩ,u=0,on∂Ω,其中V和ρ分别是Ω上的非负连续函数和正连续函数.我们建立了该问题的一些特征值不等式.In this paper,we investigate the Dirichlet eigenvalue problem of the elliptic operator in weighted divergence form LA,f on the cigar soliton(R^(2),g,f)as followsLA,f u+V u=λρu,inΩ,u=0,on∂Ω,where V is a non-negative continuous function andρis a positive continuous function onΩ.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 

分 类 号：O175.9[理学—数学]