A sharp upper bound on the spectral gap for convex graphene quantum dots

Optimal eigenvalue estimate for the Dirac-Witten operator on bounded domains with smooth boundary... Eigenvalue estimate for the DiraWitten operator is given

Its main result is an asymptotically deterministic lower bound for the PE of the sum of a low compressibility approximation to the Stokes operator and a small scaled random

In fact, to our knowledge, all the works which deal with Dirac operators coupled with δ-shell interactions have been done for Ω at least C 2 -bounded domain (except in [45], where

More precisely, the linearization of the Ginzburg-Landau functional leads to investigate the asymptotics of the lowest eigenvalues of Schr¨odinger operators with magnetic fields (ih∇

In Section 2 we make the necessary computations concerning the Riemannian structure on the frame manifold and its two-fold covering P\ In Section 3 we relate the index density of

We extend the Friedrich inequality for the eigenvalues of the Dirac operator on Spin c manifolds with boundary under different boundary conditions.. The limiting case is then

Moreover, recently [46] proposed (although if in the prototypical case of the infinite 3-star graph depicted in Figure 1) the study of the NonLinear Dirac Equation (NLDE) on

Ilias, Immersions minimales, premiere valeur propre du Lapla- cien et volume conforme, Mathematische Annalen, 275(1986), 257-267; Une ine- galit´e du type ”Reilly” pour