Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Ilias, Saïd"'
We study the eigenvalues of the magnetic Schroedinger operator associated with a magnetic potential A and a scalar potential q, on a compact Riemannian manifold M, with Neumann boundary conditions if the boundary is not empty. We obtain several bound
Externí odkaz:
http://arxiv.org/abs/1709.09482
We use the averaged variational principle introduced in a recent article on graph spectra [7] to obtain upper bounds for sums of eigenvalues of several partial differential operators of interest in geometric analysis, which are analogues of Kr{\"o}ge
Externí odkaz:
http://arxiv.org/abs/1507.02632
We are interested in the impact of entropies on the geometry of a hypersurface of a Riemannian manifold. In fact, we will be able to compare the volume entropy of a hypersurface with that of the ambient manifold, provided some geometric assumption ar
Externí odkaz:
http://arxiv.org/abs/1308.0628
Autor:
Ilias, Saïd
Why the results of that article [arXiv:1304.3212] are immediate consequences of known ones.
Comment: 1 page, a remark
Comment: 1 page, a remark
Externí odkaz:
http://arxiv.org/abs/1304.3813
Autor:
Ilias, Saïd, Shouman, Abdolhakim
Publikováno v:
In Journal of Mathematical Analysis and Applications March 2019 471(1-2):15-37
This is a revised version (minor changes and a deeper insight in the positive curvature case). We prove some Caccioppoli's inequalities for the traceless part of the second fundamental form of a complete, noncompact, finite index, constant mean curva
Externí odkaz:
http://arxiv.org/abs/1107.3653
Autor:
Ilias, Said, Ola, Makhoul
In this paper, we derive "universal" inequalities for the sums of eigenvalues of the Hodge de Rham Laplacian on Euclidean closed Submanifolds and of eigenvalues of the Kohn Laplacian on the Heisenberg group. These inequalities generalize the Levitin-
Externí odkaz:
http://arxiv.org/abs/1012.0704
Autor:
Ilias, Said, Makhoul, Ola
In this paper, we obtain a new abstract formula relating eigenvalues of a self-adjoint operator to two families of symmetric and skew-symmetric operators and their commutators. This formula generalizes earlier ones obtained by Harrell, Stubbe, Hook,
Externí odkaz:
http://arxiv.org/abs/1001.5102
Autor:
Ilias, Said, Makhoul, Ola
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 quaternionic projective spaces. We also prove similar results for the bih
Externí odkaz:
http://arxiv.org/abs/1001.4863
Publikováno v:
Transactions of the American Mathematical Society 361, 5 (2009) 2337--2350
We establish inequalities for the eigenvalues of Schr\"odinger operators on compact submanifolds (possibly with nonempty boundary) of Euclidean spaces, of spheres, and of real, complex and quaternionic projective spaces, which are related to inequali
Externí odkaz:
http://arxiv.org/abs/0902.1923