A sharp lower bound for some Neumann eigenvalues of the Hermite operator
A sharp lower bound for some Neumann eigenvalues of the Hermite operator
This paper deals with the Neumann eigenvalue problem for the Hermite operator defined in a convex, possibly unbounded, planar domain $\Omega$, having one axis of symmetry passing through the origin. We prove a sharp lower bound for the first eigenvalue $\mu_1^{odd}(\Omega)$ with an associated eigenfunction odd with respect to the …