Universal inequalities for the eigenvalues of Schrodinger operators on submanifolds

We prove stability results associated with upper bounds for the first eigenvalue of certain second order differential operators of divergence- type on hypersurfaces of the

We prove new upper bounds for the first positive eigenvalue of a family of second order operators, including the Bakry- ´ Emery Laplacian, for submanifolds of weighted

Impor- tant results have been proved regarding the existence of a uniform upper bound for λ i ( − ∆ X ) among surfaces of specified topology and area, the behavior of the optimal

Our inequalities extend those obtained by Niu and Zhang [26] for the Dirichlet eigenvalues of the sub-Laplacian on a bounded domain in the Heisenberg group and are in the spirit of

In “Global Differential Geometry and Global Analysis” (Berlin 1990), Lecture notes in Math. Gilkey, The asymptotics of the Laplacian on a manifold with boundary. Meyer, In´ e galit´

We also show how one can use this abstract formulation both for giving different and sim- pler proofs for all the known results obtained for the eigenvalues of a power of the

In this paper, we establish universal inequalities for eigenvalues of the clamped plate problem on compact submanifolds of Euclidean spaces, of spheres and of real, complex and

This quest initiated the mathematical interest for estimating the sum of Dirichlet eigenvalues of the Laplacian while in physics the question is related to count the number of