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.
作者
孙玉涵
孙和军
SUN Yu-han;SUN He-jun(School of Mathematics and Statistics,Nanjing University of Science and Technology,Nanjing 210014,China)
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)。
