| 摘要: |
| 本文研究了cigar孤立子(R2, g, f)上加权散度型椭圆算子£A,f的如下Dirichlet特征值问题：£A,fu+Vu = λρu, in Ω,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. |
| 关键词: cigar孤立子 加权散度型椭圆算子 特征值 |
| DOI： |
| 分类号:O175.9 |
| 基金项目: |
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| ESTIMATES FOR EIGENVALUES OF THE ELLIPTIC OPERATOR IN WEIGHTED DIVERGENCE FORM ON THE CIGAR SOLITON |
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SUN Yu-han, SUN He-jun
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School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing 210014, China
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| Abstract: |
| In this paper, we investigate the Dirichlet eigenvalue problem of the elliptic operator in weighted divergence form £A,f on the cigar soliton (R2, g, f) as follows {£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. |
| Key words: cigar soliton elliptic operator in weighted divergence form eigenvalue |
