Isoperimetric inequalities for the eigenvalues of natural Schrödinger operators on surfaces

VELO, Scattering Theory in the Energy Space for a Class of Nonlinear Wave Equations, Commun. VELO, Smoothing Properties and Retarded Estimates for

KITADA, Time decay of the high energy part of the solutionfor a Schrödinger equation, preprint University of Tokyo, 1982. [9]

FEINBERG, The Isoperimentric Inequality for Doubly, connected Minimal Sur-. faces in RN,

Universal eigenvalue inequalities date from the work of Payne, P´olya, and Weinberger in the 1950’s [29], who considered the Dirichlet prob- lem for the Laplacian on a Euclidean

For any bounded scalar potential q, we denote by λ i (q) the i-th eigenvalue of the Schr¨ odinger type operator −∆ + q acting on functions with Dirichlet or Neumann boundary

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

has shown that one can also bound the height of integral points of an elliptic curve E using lower bounds for linear forms in elliptic logarithms, in a more natural way than