Sharp spectral gap estimates for higher-order operators on Cartan–Hadamard manifolds
Sharp spectral gap estimates for higher-order operators on Cartan–Hadamard manifolds
The goal of this paper is to provide sharp spectral gap estimates for problems involving higher-order operators (including both the clamped and buckling plate problems) on Cartan–Hadamard manifolds. The proofs are symmetrization-free — thus no sharp isoperimetric inequality is needed — based on two general, yet elementary functional inequalities. The …