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math.AP2021★ 1 cited
The Payne conjecture for Dirichlet and Buckling eigenvalues
Genqian Liu
We prove the long-standing Payne conjecture that the eigenvalue in the buckling problem for a clamped plate is not less than the eigenvalue for…
math.AP2021★ 1 cited
Spectral Invariants of the Magnetic Dirichlet-to-Neumann Map on Riemannian Manifolds
Genqian Liu, Xiaoming Tan
This paper is devoted to investigate the heat trace asymptotic expansion corresponding to the magnetic Steklov eigenvalue problem on Riemannian manifolds with boundary. We establis…