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The fundamental gap of a kind of sub-elliptic operator

Published online by Cambridge University Press:  03 June 2022

Hongli Sun  and
Donghui Yang
Hongli Sun
Affiliation:
School of Mathematics and Statistics, Central South University, Changsha 410083, China (honglisun@126.com; donghyang@139.com)
Donghui Yang
Affiliation:
School of Mathematics and Statistics, Central South University, Changsha 410083, China (honglisun@126.com; donghyang@139.com)
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Abstract

In this paper the minimum fundamental gap of a kind of sub-elliptic operator is concerned, we deal with the existence and uniqueness of weak solution for that. We verify that the minimization fundamental gap problem can be achieved by some function, and characterize the optimal function by adopting the differential of eigenvalues.

Keywords

Fundamental gapsub-elliptic operatorweak solutionoptimal function
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 153 , Issue 4 , August 2023 , pp. 1118 - 1149
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Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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