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Cigar孤立子上加权散度型椭圆算子的特征值估计(英文)
ESTIMATES FOR EIGENVALUES OF THE ELLIPTIC OPERATOR IN WEIGHTED DIVERGENCE FORM ON THE CIGAR SOLITON
【摘要】 本文研究了cigar孤立子(R2,g,f)上加权散度型椭圆算子LA,f的如下Dirichlet特征值问题:■其中V和ρ分别是?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.
【Abstract】 In this paper,we investigate the Dirichlet eigenvalue problem of the elliptic operator in weighted divergence form LA,fon the cigar soliton (R2,g,f) as follows■where V is a non-negative continuous function andρis a positive continuous function on?.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;
【Key words】 cigar soliton; elliptic operator in weighted divergence form; eigenvalue;
【基金】 Supported by National Natural Science Foundation of China (11001130);Fundamental Research Funds for the Central Universities (30917011335)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2024年02期
- 【分类号】O186.1;O177
- 【下载频次】16