Cigar孤立子上加权散度型椭圆算子的特征值估计OACSTPCD
ESTIMATES FOR EIGENVALUES OF THE ELLIPTIC OPERATOR IN WEIGHTED DIVERGENCE FORM ON THE CIGAR SOLITON
本文研究了cigar孤立子((R)2,g,f)上加权散度型椭圆算子(L)A,f的如下Dirichlet特征值问题:{(L)A,fu+Vu=λρu,in Ω,u=0,on ∂Ω,其中V和ρ分别是Q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 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.
孙玉涵;孙和军
南京理工大学数学与统计学院,江苏南京 210094
数学
cigar孤立子加权散度型椭圆算子特征值
cigar solitonelliptic operator in weighted divergence formeigenvalue
《数学杂志》 2024 (002)
113-125 / 13
Supported by National Natural Science Foundation of China(11001130);Fun-damental Research Funds for the Central Universities(30917011335).
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