3 papers
math.DS2026
Characterization of Maximizers for Sums of the First Two Eigenvalues of Sturm-Liouville Operators
Gang Meng, Yuzhou Tian, Bing Xie +1
In this paper we study the maximization of the sum of the first two Dirichlet eigenvalues for Sturm-Liouville operators with potentials in the noncompact space . We prove that…
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…