Ahmad El Soufi

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Publications

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On the placement of an obstacle so as to optimize the Dirichlet heat trace

Ahmad El Soufi , Evans Harrell

SIAM Journal on Mathematical Analysis, 2016, 48 (2), pp.884--894. ⟨10.1137/140957275⟩

Article dans une revue hal-00947547v2
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ON SUMS OF EIGENVALUES OF ELLIPTIC OPERATORS ON MANIFOLDS

Ahmad El Soufi , Evans Harrell , Said Ilias , Joachim Stubbe

Journal of Spectral Theory, 2016

Article dans une revue hal-01174814v2
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Eigenvalues of the sub-Laplacian and deformations of contact structures on a compact CR manifold

Amine Aribi , Sorin Dragomir , Ahmad El Soufi

Differential Geometry and its Applications, 2015, 39, pp.113--128. ⟨10.1016/j.difgeo.2015.01.005⟩

Article dans une revue hal-01208082v1
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Eigenvalues of the Laplacian on a compact manifold with density

Bruno Colbois , Ahmad El Soufi , Alessandro Savo

Communications in Analysis and Geometry, 2015, 23 (3), pp.639--670

Article dans une revue hal-00870126v1
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A lower bound on the spectrum of the sublaplacian

Amine Aribi , Sorin Dragomir , Ahmad El Soufi

The Journal of Geometric Analysis, 2014, pp.1-28. ⟨10.1007/s12220-014-9481-6⟩

Article dans une revue hal-00927302v1
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On the continuity of the eigenvalues of a sublaplacian

Amine Aribi , Sorin Dragomir , Ahmad El Soufi

Canadian Mathematical Bulletin, 2014, 57 (1), pp.12--24. ⟨10.4153/CMB-2012-026-9⟩

Article dans une revue hal-00923208v1
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Extremal Eigenvalues of the Laplacian on Euclidean domains and closed surfaces

Bruno Colbois , Ahmad El Soufi

Mathematische Zeitschrift, 2014, 278 (1-2), pp.529-546. ⟨10.1007/s00209-014-1325-3⟩

Article dans une revue hal-00957058v1
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Isoperimetric control of the spectrum of a compact hypersurface

Bruno Colbois , Ahmad El Soufi , Alexandre Girouard

Journal für die reine und angewandte Mathematik, 2013, 683, pp.49--65. ⟨10.1515/crelle-2012-0008⟩

Article dans une revue hal-00497630v2
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Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictly pseudoconvex CR manifold

Amine Aribi , Ahmad El Soufi

Calculus of Variations and Partial Differential Equations, 2012, 47 (3-4), pp.437-463. ⟨10.1007/s00526-012-0523-2⟩

Article dans une revue hal-00779283v1
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Isoperimetric control of the Steklov spectrum

Bruno Colbois , Ahmad El Soufi , Alexandre Girouard

Journal of Functional Analysis, 2011, 261 (5), pp.1384-1399

Article dans une revue hal-00779282v1
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Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds

Bruno Colbois , Emily B. Dryden , Ahmad El Soufi

Bulletin of the London Mathematical Society, 2010, 42 (1), pp.96--108. ⟨10.1112/blms/bdp100⟩

Article dans une revue hal-00420689v1
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Isoperimetric inequalities for the eigenvalues of natural Schrödinger operators on surfaces

Ahmad El Soufi

Indiana University Mathematics Journal, 2009, 58 (1), pp.335--350

Article dans une revue hal-00360863v1
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Universal inequalities for the eigenvalues of Schrodinger operators on submanifolds

Ahmad El Soufi , Evans Harrell , Said Ilias

Transactions of the American Mathematical Society, 2009, 361 (5), pp.2337--2350

Article dans une revue hal-00360706v1
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Laplacian eigenvalues functionals and metric deformations on compact manifolds

Ahmad El Soufi , Said Ilias

Journal of Geometry and Physics, 2008, 58 (1), pp.89 -- 104

Article dans une revue hal-00126962v1
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Where to place a spherical obstacle so as to maximize the second Dirichlet eigenvalue

Ahmad El Soufi , Rola Kiwan

Communications on Pure and Applied Mathematics, 2008, 7 (5), pp.1193 -- 1201

Article dans une revue hal-00196513v1
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Pseudo-radial solutions of semi-linear elliptic equations on symmetric domains

Ahmad El Soufi , Mustapha Jazar

Differential and integral equations, 2008, 21 (7-8), pp.601 -- 622

Article dans une revue hal-00286004v1
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A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions

Ahmad El Soufi , Mustapha Jazar , Régis Monneau

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2007, 24, pp.17--39

Article dans une revue hal-00126955v1
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Extremal first Dirichlet eigenvalue of doubly connected plane domains and dihedral symmetry

Ahmad El Soufi , Rola Kiwan

SIAM Journal on Mathematical Analysis, 2007, 39 (4), pp.1112 --1119

Article dans une revue hal-00145248v1
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Extremal $G$-invariant eigenvalues of the Laplacian of $G$-invariant metrics

Bruno Colbois , Emily B. Dryden , Ahmad El Soufi

Mathematische Zeitschrift, 2007, 258, pp.29 -- 41

Article dans une revue hal-00131806v1
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Domain deformations and eigenvalues of the Dirichlet Laplacian in a Riemannian manifold

Ahmad El Soufi , Saïd Ilias

Illinois Journal of Mathematics, 2007, 51, pp.645--666

Article dans une revue hal-00145250v1
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Eigenvalues of the Laplacian acting on $p$-forms and metric conformal deformations

Bruno Colbois , Ahmad El Soufi

Proceedings of the American Mathematical Society, 2006, 134 (3), pp.715-721

Article dans une revue hal-00002836v2
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A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle

Ahmad El Soufi , Hector Giacomini , Mustapha Jazar

Duke Mathematical Journal, 2006, 135(1), pp.181--202

Article dans une revue hal-00126909v1
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Critical potentials of the eigenvalues and eigenvalue gaps of Schrödinger operators

Ahmad El Soufi , Nazih Moukadem

Journal of Mathematical Analysis and Applications, 2006, 314, pp.195-209

Article dans une revue hal-00005320v1
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Extremal eigenvalues of the Laplacian in a conformal class of metrics : the "conformal spectrum

Bruno Colbois , Ahmad El Soufi

Annals of Global Analysis and Geometry, 2003, 24-4, pp.337-349. ⟨10.1023/A:1026257431539⟩

Article dans une revue hal-00002872v1
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Critical metrics of the trace of the heat kernel on a compact manifold

Ahmad El Soufi , Saïd Ilias

Journal de Mathématiques Pures et Appliquées, 2002, 81, pp.1053-1070. ⟨10.1016/S0021-7824(02)01271-0⟩

Article dans une revue hal-00002873v1