2 papers
math.DS2025
Non-integrability of the Critical Systems for Optimal Sums of Eigenvalues of Sturm-Liouville Operators
Yuzhou Tian, Meirong Zhang
The optimal lower or upper bounds for sums of the first eigenvalues of Sturm-Liouville operators can be obtained by solving the corresponding critical systems, which are Hamilt…
math.DS2023
On the Meromorphic Integrability of the Critical Systems for Optimal Sums of Eigenvalues
Yuzhou Tian, Meirong Zhang
The popularity of estimation to bounds for sums of eigenvalues started from P. Li and S. T. Yau for the study of the Pólya conjecture. This subject is extended to different types o…