Riemannian metrics with prescribed volume and finite parts of Dirichlet spectrum
Xiang He, Zuoqin Wang · arXiv (Cornell University) · 2023
In this paper we study the problem of prescribing Dirichlet eigenvalues on an arbitrary compact manifold $M$ of dimension $n\geq 3$ with a non-empty smooth boundary $\partial M$. We show that for any finite increasing sequence of real numbers $0