The first eigenvalue of one‐dimensional elliptic operators with killing
Abstract In this paper, we investigate the first eigenvalue for one‐dimensional elliptic operators with killing. Two‐sided approximation procedures and basic estimates of the first eigenvalue are given in both the half line and the whole line. The proofs are based on the ‐transform, Chen's dual variational formulas, and the split technique. In particular, a few examples are presented to illustrate the power of our results.
Authors
- Jian Wang (ORCID: https://orcid.org/0000-0003-0520-737X)
- Xiaobin Sun (ORCID: https://orcid.org/0000-0002-5533-3836)
- Yingchao Xie
- K. Y. Dai (ORCID: https://orcid.org/0009-0002-5082-8415)
Institutions
- Fujian Normal University (CN)
- Jiangsu Normal University (CN)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2024-11-27
- DOI
- https://doi.org/10.1002/mana.202400331
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Priority Academic Program Development of Jiangsu Higher Education Institutions
- Graduate Research and Innovation Projects of Jiangsu Province
- National Key Research and Development Program of China