Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Ola, Makhoul"'
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:
Saïd Ilias, Ola Makhoul
Publikováno v:
Differential Geometry and its Applications. 29:699-708
C'est une partie de la thèse d'Ola Makhoul soutenue en juin 2010, et c'est à paraître,; Let $M$ be a compact submanifold with boundary immersed in a Euclidean space or a Sphere. In this paper, we derive an upper bound for the first non zero eigenv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1963a74991280115259d5ded3168aee
https://doi.org/10.1016/j.difgeo.2011.07.005
https://doi.org/10.1016/j.difgeo.2011.07.005
Publikováno v:
Mediterranean Journal of Mathematics
Mediterranean Journal of Mathematics, Springer Verlag, 2018
Mediterranean Journal of Mathematics, Springer Verlag, 2018
On a compact Riemannian manifold N whose boundary is endowed with a Riemannian flow, we gave in El Chami et al. (Eigenvalue estimate for the basic Laplacian on manifolds with foliated boundary, 2015) a sharp lower bound for the first non-zero eigenva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5f692b39bddd7114fe69312d8e1fb49
http://arxiv.org/abs/1604.02304
http://arxiv.org/abs/1604.02304
Autor:
Saïd Ilias, Ola Makhoul
Publikováno v:
Pacific Journal of Mathematics. 251:315-329
We establish universal inequalities for the eigenvalues of the clamped plate problem on compact submanifolds of Euclidean space, of spheres and of real, complex and quaternionic projective spaces. We prove similar results for the biharmonic operator
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a73a905b9fd3b8d3050482416cbf2f6c
https://doi.org/10.2140/pjm.2011.251.315
https://doi.org/10.2140/pjm.2011.251.315
Autor:
Ola Makhoul, Saïd Ilias
Publikováno v:
Annals of Global Analysis and Geometry. 36:191-204
We obtain ‘universal’ inequalities for the eigenvalues of the Laplacian acting on differential forms of a Euclidean compact submanifold. These inequalities generalize the Yang inequality concerning the eigenvalues of the Dirichlet Laplacian of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59c64702540a2f3398e197a30f62928e
https://doi.org/10.1007/s10455-009-9158-8
https://doi.org/10.1007/s10455-009-9158-8
Autor:
Saïd Ilias, 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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::111d9edaca541eb1a57567eb5d63e9ea
Autor:
Saïd Ilias, Ola Makhoul
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fae671de21e95de5e4a60eaaf8fd269
Autor:
Ilias, Saïd, Makhoul, Ola
Publikováno v:
Journal of Geometric Analysis; Jan2012, Vol. 22 Issue 1, p206-222, 17p
Autor:
El Chami, Fida, Habib, Georges
Publikováno v:
Results in Mathematics / Resultate der Mathematik; Feb2022, Vol. 77 Issue 1, p1-24, 24p
Autor:
Chen, Qun, Shi, Jianghai
Publikováno v:
Results in Mathematics / Resultate der Mathematik; Feb2022, Vol. 77 Issue 1, p1-24, 24p