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Carnot群上低阶特征值的估计 被引量:2

Estimate for lower order eigenvalues on Carnot groups
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摘要 研究了Carnot群G上水平Laplace算子的特征值问题,通过构造合适的测试函数,给出低阶特征值估计的一个万有不等式. In this paper, the author studies the eigenvalue problem of horizontal Laplace operator on bounded domains in a Carnot group. By constructing appropriate trial functions, some universal inequalities for lower order eigenvalues are obtained.
出处 《扬州大学学报(自然科学版)》 CAS 北大核心 2016年第2期10-12,45,共4页 Journal of Yangzhou University:Natural Science Edition
基金 湖北省教育厅科学技术研究计划青年人才资助项目(Q20154301)
关键词 CARNOT群 水平Laplace算子 特征值 万有不等式. Carnot groups horizontal Laplace operator eigenvalues universal inequalities
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