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 Author ID: el-soufi.ahmad Published as: El Soufi, A.; El Soufi, Ahmad Homepage: http://www.lmpt.univ-tours.fr/~elsoufi/ External Links: MGP · ResearchGate · dblp
 Documents Indexed: 49 Publications since 1984, including 3 Books Biographic References: 1 Publication
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Co-Authors

 3 single-authored 13 Ilias, Saïd 10 Colbois, Bruno 5 Aribi, Amine 5 Jazar, Mustapha 3 Baird, Paul 3 Dragomir, Sorin 3 Fardoun, Ali 3 Girouard, Alexandre 3 Harrell, Evans M. II 3 Regbaoui, Rachid 2 Dryden, Emily B. 2 Jeune, Albert 2 Kiwan, Rola 2 Petit, Robert 1 Azari, Hossein 1 Giacomini, Hector J. 1 Monneau, Régis 1 Moukadem, Nazih 1 Ros, Antonio 1 Sandier, Etienne 1 Savo, Alessandro 1 Stubbe, Joachim 1 Wang, Xiaoping
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Serials

 4 Annals of Global Analysis and Geometry 3 Proceedings of the American Mathematical Society 2 Commentarii Mathematici Helvetici 2 Compositio Mathematica 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Séminaires et Congrès 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Differential and Integral Equations 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Communications in Analysis and Geometry 1 Communications on Pure and Applied Analysis 1 International Journal of Numerical Analysis and Modeling 1 Journal of Spectral Theory 1 Progress in Nonlinear Differential Equations and Their Applications
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Fields

 39 Global analysis, analysis on manifolds (58-XX) 27 Partial differential equations (35-XX) 14 Differential geometry (53-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Several complex variables and analytic spaces (32-XX) 3 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)

Citations contained in zbMATH Open

41 Publications have been cited 469 times in 263 Documents Cited by Year
Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume). Zbl 0675.53045
El Soufi, A.; Ilias, S.
1986
An inequality of “Reilly”-type for submanifolds of the hyperbolic space. Zbl 0758.53029
El Soufi, A.; Ilias, S.
1992
Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds. Zbl 1162.58009
El Soufi, Ahmad; Harrell, Evans M. II; Ilias, Saïd
2009
Extremal eigenvalues of the Laplacian in a conformal class of metrics: the ‘conformal spectrum’. Zbl 1036.58026
2003
Riemannian manifolds admitting isometric immersions by their first eigenfunctions. Zbl 1030.53043
2000
A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions. Zbl 1112.35108
El Soufi, A.; Jazar, M.; Monneau, R.
2007
Isoperimetric control of the Steklov spectrum. Zbl 1235.58020
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
2011
Laplacian eigenvalue functionals and metric deformations on compact manifolds. Zbl 1137.49040
2008
A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle. Zbl 1109.58029
El Soufi, Ahmad; Giacomini, Hector; Jazar, Mustapha
2006
Domain deformations and eigenvalues of the Dirichlet Laplacian in a Riemannian manifold. Zbl 1124.49035
2007
Second eigenvalue of Schrödinger operators and mean curvature. Zbl 0955.58025
2000
Upper bound for the second eigenvalue of a Schrödinger operator on a compact manifold and applications. Zbl 0766.58055
El Soufi, A.; Ilias, S.
1992
Extremal metrics for the first eigenvalue of the Laplacian in a conformal class. Zbl 1027.58010
2003
Harmonic mappings minimal immersions and conformal transformations of the sphere. Zbl 0777.58010
1993
Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces. Zbl 1301.35063
2014
Isoperimetric control of the spectrum of a compact hypersurface. Zbl 1282.58017
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
2013
Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds. Zbl 1187.58027
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad
2010
Conformal volume and its applications according to Li and Yau. Zbl 0757.53028
El Soufi, A.; Ilias, S.
1984
Extremal first Dirichlet eigenvalue of doubly connected plane domains and dihedral symmetry. Zbl 1156.35068
2007
Eigenvalues of the Laplacian on a compact manifold with density. Zbl 1317.58031
Colbois, Bruno; El Soufi, Ahmad; Savo, Alessandro
2015
Extremal $$G$$-invariant eigenvalues of the Laplacian of $$G$$-invariant metrics. Zbl 1127.58026
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad
2008
Eigenvalues of the Laplacian acting on $$p$$-forms and metric conformal deformations. Zbl 1095.35013
2006
Morse index of $$p$$-harmonic maps. Zbl 0853.58037
1996
On sums of eigenvalues of elliptic operators on manifolds. Zbl 1382.58023
El Soufi, Ahmad; Harrell, Evans M. II; Ilias, Saïd; Stubbe, Joachim
2017
A lower bound on the spectrum of the Sublaplacian. Zbl 1322.53076
Aribi, Amine; Dragomir, Sorin; El Soufi, Ahmad
2015
Where to place a spherical obstacle so as to maximize the second Dirichlet eigenvalue. Zbl 1157.35441
2008
Morse index of harmonic maps of the sphere. Zbl 0924.58012
1995
Indice de Morse des applications $$p$$-harmoniques. (Morse index of $$p$$- harmonic maps). Zbl 0769.58011
1992
Compact manifolds with fixed boundary and large Steklov eigenvalues. Zbl 07102544
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
2019
On the continuity of the eigenvalues of a sublaplacian. Zbl 1286.32018
Aribi, Amine; Dragomir, Sorin; El Soufi, Ahmad
2014
Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictly pseudoconvex CR manifold. Zbl 1269.32021
2013
Critical potentials of the eigenvalues and eigenvalue gaps of Schrödinger operators. Zbl 1081.58022
2006
Critical metrics of the trace of the heat kernel on a compact manifold. Zbl 1037.58010
2002
On the placement of an obstacle so as to optimize the Dirichlet heat trace. Zbl 1339.35200
El Soufi, Ahmad; Harrell, Evans M. II
2016
Eigenvalues of the sub-Laplacian and deformations of contact structures on a compact CR manifold. Zbl 1320.32042
Aribi, Amine; Dragomir, Sorin; El Soufi, Ahmad
2015
$$p$$-harmonic diffeomorphisms. Zbl 0908.58006
El Soufi, A.; Sandier, E.
1998
On the first eigenvalue of tori. Zbl 0902.58003
El Soufi, Ahmad; Ilias, Saïd; Ros, Antonio
1997
Some remarks on Witten’s method. Poincaré-Hopf theorem and Atiyah-Bott formula. Zbl 0657.58040
El Soufi, A.; Wang, X. P.
1987
Spectrum of the Laplacian with weights. Zbl 1408.35105
2019
Immersions minimales et immersions pluriharmoniques entre variétés riemanniennes: résultats de non existence et de rigidité. (Minimal and pluriharmonic immersions between Riemannian manifolds: non-existence and rigidity results). Zbl 0945.53038
2000
Harmonic maps, pluriharmonic maps and existence of non-trivial parallel 2-forms. Zbl 0901.58012
1998
Compact manifolds with fixed boundary and large Steklov eigenvalues. Zbl 07102544
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
2019
Spectrum of the Laplacian with weights. Zbl 1408.35105
2019
On sums of eigenvalues of elliptic operators on manifolds. Zbl 1382.58023
El Soufi, Ahmad; Harrell, Evans M. II; Ilias, Saïd; Stubbe, Joachim
2017
On the placement of an obstacle so as to optimize the Dirichlet heat trace. Zbl 1339.35200
El Soufi, Ahmad; Harrell, Evans M. II
2016
Eigenvalues of the Laplacian on a compact manifold with density. Zbl 1317.58031
Colbois, Bruno; El Soufi, Ahmad; Savo, Alessandro
2015
A lower bound on the spectrum of the Sublaplacian. Zbl 1322.53076
Aribi, Amine; Dragomir, Sorin; El Soufi, Ahmad
2015
Eigenvalues of the sub-Laplacian and deformations of contact structures on a compact CR manifold. Zbl 1320.32042
Aribi, Amine; Dragomir, Sorin; El Soufi, Ahmad
2015
Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces. Zbl 1301.35063
2014
On the continuity of the eigenvalues of a sublaplacian. Zbl 1286.32018
Aribi, Amine; Dragomir, Sorin; El Soufi, Ahmad
2014
Isoperimetric control of the spectrum of a compact hypersurface. Zbl 1282.58017
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
2013
Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictly pseudoconvex CR manifold. Zbl 1269.32021
2013
Isoperimetric control of the Steklov spectrum. Zbl 1235.58020
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
2011
Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds. Zbl 1187.58027
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad
2010
Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds. Zbl 1162.58009
El Soufi, Ahmad; Harrell, Evans M. II; Ilias, Saïd
2009
Laplacian eigenvalue functionals and metric deformations on compact manifolds. Zbl 1137.49040
2008
Extremal $$G$$-invariant eigenvalues of the Laplacian of $$G$$-invariant metrics. Zbl 1127.58026
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad
2008
Where to place a spherical obstacle so as to maximize the second Dirichlet eigenvalue. Zbl 1157.35441
2008
A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions. Zbl 1112.35108
El Soufi, A.; Jazar, M.; Monneau, R.
2007
Domain deformations and eigenvalues of the Dirichlet Laplacian in a Riemannian manifold. Zbl 1124.49035
2007
Extremal first Dirichlet eigenvalue of doubly connected plane domains and dihedral symmetry. Zbl 1156.35068
2007
A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle. Zbl 1109.58029
El Soufi, Ahmad; Giacomini, Hector; Jazar, Mustapha
2006
Eigenvalues of the Laplacian acting on $$p$$-forms and metric conformal deformations. Zbl 1095.35013
2006
Critical potentials of the eigenvalues and eigenvalue gaps of Schrödinger operators. Zbl 1081.58022
2006
Extremal eigenvalues of the Laplacian in a conformal class of metrics: the ‘conformal spectrum’. Zbl 1036.58026
2003
Extremal metrics for the first eigenvalue of the Laplacian in a conformal class. Zbl 1027.58010
2003
Critical metrics of the trace of the heat kernel on a compact manifold. Zbl 1037.58010
2002
Riemannian manifolds admitting isometric immersions by their first eigenfunctions. Zbl 1030.53043
2000
Second eigenvalue of Schrödinger operators and mean curvature. Zbl 0955.58025
2000
Immersions minimales et immersions pluriharmoniques entre variétés riemanniennes: résultats de non existence et de rigidité. (Minimal and pluriharmonic immersions between Riemannian manifolds: non-existence and rigidity results). Zbl 0945.53038
2000
$$p$$-harmonic diffeomorphisms. Zbl 0908.58006
El Soufi, A.; Sandier, E.
1998
Harmonic maps, pluriharmonic maps and existence of non-trivial parallel 2-forms. Zbl 0901.58012
1998
On the first eigenvalue of tori. Zbl 0902.58003
El Soufi, Ahmad; Ilias, Saïd; Ros, Antonio
1997
Morse index of $$p$$-harmonic maps. Zbl 0853.58037
1996
Morse index of harmonic maps of the sphere. Zbl 0924.58012
1995
Harmonic mappings minimal immersions and conformal transformations of the sphere. Zbl 0777.58010
1993
An inequality of “Reilly”-type for submanifolds of the hyperbolic space. Zbl 0758.53029
El Soufi, A.; Ilias, S.
1992
Upper bound for the second eigenvalue of a Schrödinger operator on a compact manifold and applications. Zbl 0766.58055
El Soufi, A.; Ilias, S.
1992
Indice de Morse des applications $$p$$-harmoniques. (Morse index of $$p$$- harmonic maps). Zbl 0769.58011
1992
Some remarks on Witten’s method. Poincaré-Hopf theorem and Atiyah-Bott formula. Zbl 0657.58040
El Soufi, A.; Wang, X. P.
1987
Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume). Zbl 0675.53045
El Soufi, A.; Ilias, S.
1986
Conformal volume and its applications according to Li and Yau. Zbl 0757.53028
El Soufi, A.; Ilias, S.
1984
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Cited by 278 Authors

 20 El Soufi, Ahmad 12 Colbois, Bruno 10 Girouard, Alexandre 9 Zhou, Jun 8 Ilias, Saïd 7 Xia, Changyu 6 Cheng, Qingming 6 Fraser, Ailana M. 6 Freitas, Pedro 6 Harrell, Evans M. II 6 Sicbaldi, Pieralberto 6 Wang, Qiaoling 5 Grosjean, Jean-François 5 Karpukhin, Mikhail A. 5 Schoen, Richard Melvin 4 Bogoşel, Beniamin 4 Chen, Daguang 4 Chen, Hang 4 Du, Feng 4 Gittins, Katie 4 Hassannezhad, Asma 4 Huang, Guangyue 4 Jammes, Pierre 4 Kokarev, Gerasim 4 Penskoi, Alexei V. 4 Wang, Xiaoliu 4 Yu, Chengjie 3 Alías, Luis J. 3 Antunes, Pedro Ricardo Simão 3 Aribi, Amine 3 Bucur, Dorin 3 Ding, Juntang 3 Dragomir, Sorin 3 Fardoun, Ali 3 Gao, Wenjie 3 Ginoux, Nicolas 3 Gomes, José Nazareno Vieira 3 Hou, Songbo 3 Jakobson, Dmitry 3 Laugesen, Richard Snyder 3 Makhoul, Ola 3 Matthiesen, Henrik 3 Petrides, Romain 3 Polterovich, Iosif 3 Qi, Xuerong 3 Qu, Chengyuan 3 Ros, Antonio 3 Roth, Julien 3 Stubbe, Joachim 3 Sun, Hejun 3 Xu, Guangyu 2 Aithal, A. R. 2 Ariturk, Sinan 2 Barros, Abdênago A. 2 Benalili, Mohammed 2 Benallal, Hafida 2 Bourgoin, Jean-Christophe 2 Chaves Brasil Junior, Aldir 2 Canzani, Yaiza 2 Chiang, Yuanjen 2 Cianci, Donato 2 do Carmo, Manfredo Perdigão 2 Domingo-Juan, M. Carmen 2 Fall, Mouhamed Moustapha 2 Ghigi, Alessandro 2 Han, Yuzhu 2 Henrot, Antoine 2 Ho, Pak Tung 2 Ichikawa, Takamichi 2 Kao, Chiu-Yen 2 Kiwan, Rola 2 Lamboley, Jimmy 2 Laptev, Ari 2 Li, Haizhong 2 Mametsuka, Shinji 2 Mao, Jing 2 Marrocos, Marcus A. M. 2 Medvedev, Vladimir I. 2 Miquel, Vicente 2 Nadirashvili, Nikolai S. 2 Niculescu, Constantin P. 2 Osting, Braxton 2 Provenzano, Luigi 2 Ratto, Andrea 2 Roventa, Ionel 2 Sabourau, Stéphane 2 Savo, Alessandro 2 Sher, David A. 2 Shi, Yongjie 2 Siudeja, Bartłomiej Andrzej 2 van den Berg, Michiel 2 Wang, Hengling 2 Wang, Xianfeng 2 Weth, Tobias 2 Wu, Chuanxi 2 Xiong, Changwei 2 Yang, Hongcang 2 Zhu, Jonathan J. H. 1 Akhmetgaliyev, Eldar 1 Al Sayed, Abdelkader ...and 178 more Authors
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Cited in 96 Serials

 16 The Journal of Geometric Analysis 14 Calculus of Variations and Partial Differential Equations 11 Proceedings of the American Mathematical Society 11 Annals of Global Analysis and Geometry 10 Journal of Mathematical Analysis and Applications 8 Transactions of the American Mathematical Society 8 Differential Geometry and its Applications 7 Journal of Functional Analysis 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Advances in Mathematics 6 Journal of Differential Equations 6 Mathematische Zeitschrift 5 Journal of Geometry and Physics 5 Manuscripta Mathematica 5 Mathematische Annalen 5 Geometric and Functional Analysis. GAFA 5 Journal of Spectral Theory 4 Computers & Mathematics with Applications 4 Compositio Mathematica 4 Mathematische Nachrichten 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Annales de l’Institut Fourier 3 Geometriae Dedicata 3 Inventiones Mathematicae 3 International Journal of Mathematics 3 SIAM Journal on Mathematical Analysis 3 Mediterranean Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 Journal of the Mathematical Society of Japan 2 Journal of Optimization Theory and Applications 2 Monatshefte für Mathematik 2 SIAM Journal on Control and Optimization 2 Applied Mathematics Letters 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Potential Analysis 2 Discrete and Continuous Dynamical Systems 2 Acta Mathematica Sinica. English Series 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Complex Analysis and Operator Theory 2 Journal of Topology and Analysis 1 Applicable Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Anais da Academia Brasileira de Ciências 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Integral Equations and Operator Theory 1 Journal of Geometry 1 Mathematika 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Ricerche di Matematica 1 Tohoku Mathematical Journal. Second Series 1 Revista Matemática Iberoamericana 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 The Journal of Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Geometry & Topology 1 Discrete Dynamics in Nature and Society 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Advances in Calculus of Variations 1 Communications in Mathematics 1 Advances in Nonlinear Analysis 1 EMS Surveys in Mathematical Sciences 1 European Journal of Mathematics 1 Geometric Flows
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Cited in 27 Fields

 156 Partial differential equations (35-XX) 156 Global analysis, analysis on manifolds (58-XX) 107 Differential geometry (53-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Operator theory (47-XX) 6 Fluid mechanics (76-XX) 5 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 4 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Quantum theory (81-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 1 Number theory (11-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)