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## Ghoussoub, Nassif A.

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 Author ID: ghoussoub.nassif-a Published as: Ghoussoub, Nassif; Ghoussoub, N.; Ghoussoub, N. A.; Ghoussoub, Nassif A. External Links: MGP · Wikidata · GND
 Documents Indexed: 143 Publications since 1975, including 7 Books Reviewing Activity: 13 Reviews
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#### Co-Authors

 31 single-authored 16 Maurey, Bernard 9 Moameni, Abbas 7 Kim, Young-Heon 7 Robert, Frédéric 6 Gui, Changfeng 6 Johnson, William Buhmann 6 Palmer, Aaron Zeff 6 Schachermayer, Walter 5 Cowan, Craig 5 Esposito, Pierpaolo 5 Guo, Yujin 5 Moradifam, Amir 3 Agueh, Martial 3 Ekeland, Ivar 3 Kang, Xiaosong 3 Shakerian, Shaya 3 Talagrand, Michel 3 Tzou, Leo 2 Benyamini, Yoav 2 Boroushaki, Shirin 2 Davis, William Jay 2 Dweik, Samer 2 Fang, Guangcai 2 Fazly, Mostafa 2 Lim, Tongseok 2 Lindenstrauss, Joram 2 Preiss, David 2 Saab, Elias 1 Aghajani, Asadollah 1 Barton, Alistair 1 Bolle, Philippe 1 Bourgain, Jean 1 Cassani, Daniele 1 Chacon, Rafael V. S. 1 Chambers, Christine 1 Chan, Hardy 1 Chang, Kung-Ching 1 de Oliveira Faria, Luiz Fernando 1 Deville, Robert 1 Do Ó, João M. Bezerra 1 Feldman, Joel S. 1 Figiel, Tadeusz 1 Foguel, Shaul R. 1 Froese, Richard 1 Galichon, Alfred 1 Godefroy, Gilles 1 Kwapień, Stanisław 1 Lavenant, Hugo 1 Lin, Chang-Shou 1 Lindenstrauss, Ayelet 1 Lindenstrauss, Elon 1 Lindentrauss, J. 1 Maurey, R. 1 Mazumdar, Saikat 1 McCann, Robert J. 1 Milman, Vitali D. 1 Naor, Assaf 1 Pass, Brendan 1 Pisier, Gilles 1 Rosenthal, Haskell P. 1 Saab, Paulette 1 Sáiz, Ramón Zárate 1 Schechtman, Gideon 1 Steele, J. Michael 1 Sucheston, Louis 1 Szankowski, Andrzej 1 Szarek, Stanislaw Jerzy 1 Tehrani, Alireza Mosleh 1 Tehrani, Hossein Torabi 1 Tehrani, T. 1 Zhao, Mingfeng 1 Zhu, Meijun
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#### Serials

 8 Proceedings of the American Mathematical Society 7 Calculus of Variations and Partial Differential Equations 6 Mathematische Annalen 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Discrete and Continuous Dynamical Systems 5 Advanced Nonlinear Studies 4 Communications on Pure and Applied Mathematics 4 Journal of Functional Analysis 4 Transactions of the American Mathematical Society 4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 4 Communications in Partial Differential Equations 3 The Annals of Probability 3 Journal of Multivariate Analysis 3 Geometric and Functional Analysis. GAFA 3 SIAM Journal on Mathematical Analysis 3 Notices of the American Mathematical Society 3 Methods and Applications of Analysis 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 SIAM Journal on Control and Optimization 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Cambridge Tracts in Mathematics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 European Journal of Applied Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Topological Methods in Nonlinear Analysis 1 Numerical Linear Algebra with Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Annals of Mathematics. Second Series 1 Journal of Dynamical and Control Systems 1 Communications on Pure and Applied Analysis 1 IMRP. International Mathematics Research Papers 1 Mathematical Surveys and Monographs 1 Courant Lecture Notes in Mathematics 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Mathematics and Financial Economics 1 Analysis & PDE 1 Bulletin of Mathematical Sciences 1 Springer Monographs in Mathematics
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#### Fields

 60 Partial differential equations (35-XX) 46 Functional analysis (46-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 30 Global analysis, analysis on manifolds (58-XX) 27 Operator theory (47-XX) 25 Probability theory and stochastic processes (60-XX) 9 Dynamical systems and ergodic theory (37-XX) 4 Real functions (26-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 2 Ordinary differential equations (34-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

120 Publications have been cited 2,299 times in 1,514 Documents Cited by Year
Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Zbl 0956.35056
Ghoussoub, N.; Yuan, C.
2000
On a conjecture of De Giorgi and some related problems. Zbl 0918.35046
Ghoussoub, N.; Gui, C.
1998
Duality and perturbation methods in critical point theory. Zbl 0790.58002
Ghoussoub, Nassif
1993
Selected new aspects of the calculus of variations in the large. Zbl 1064.35054
Ekeland, Ivar; Ghoussoub, Nassif
2002
Mathematical analysis of partial differential equations modeling electrostatic MEMS. Zbl 1223.35003
Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin
2010
On the partial differential equations of electrostatic MEMS devices: stationary case. Zbl 1174.35040
Ghoussoub, Nassif; Guo, Yujin
2007
Hardy-Sobolev critical elliptic equations with boundary singularities. Zbl 1232.35064
Ghoussoub, N.; Kang, X. S.
2004
Bessel pairs and optimal Hardy and Hardy-Rellich inequalities. Zbl 1216.35018
2011
A general mountain pass principle for locating and classifying critical points. Zbl 0711.58008
Ghoussoub, N.; Preiss, D.
1989
The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Zbl 1232.35044
Ghoussoub, N.; Robert, F.
2006
Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinearity. Zbl 1130.35036
Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin
2007
Functional inequalities. New perspectives and new applications. Zbl 1269.39008
2013
Some topological and geometrical structures in Banach spaces. Zbl 0651.46017
Ghoussoub, N.; Godefroy, G.; Maurey, B.; Schachermayer, W.
1987
On the best possible remaining term in the Hardy inequality. Zbl 1205.26033
2008
On the partial differential equations of electrostatic MEMS devices. II: Dynamic case. Zbl 1146.35381
Ghoussoub, Nassif; Guo, Yujin
2008
Location, multiplicity and Morse indices of min-max critical points. Zbl 0736.58011
Ghoussoub, N.
1991
Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent. Zbl 0955.35024
Gui, Changfeng; Ghoussoub, Nassif
1998
The multiplicity of solutions in non-homogeneous boundary value problems. Zbl 0963.35001
Bolle, Phillipe; Ghoussoub, Nassif; Tehrani, Hossein
2000
Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth. Zbl 1154.35049
Ghoussoub, N.; Robert, F.
2006
On De Giorgi’s conjecture in dimensions 4 and 5. Zbl 1165.35367
Ghoussoub, Nassif; Gui, Changfeng
2003
Geometric inequalities via a general comparison principle for interacting gases. Zbl 1122.82022
Agueh, M.; Ghoussoub, N.; Kang, X.
2004
$$G_{\delta}$$-embeddings in Hilbert space. Zbl 0565.46011
Ghoussoub, N.; Maurey, B.
1985
The Conley index and the critical groups via an extension of Gromoll-Meyer theory. Zbl 0898.58006
Chang, K. C.; Ghoussoub, N.
1996
The critical dimension for a fourth-order elliptic problem with singular nonlinearity. Zbl 1225.35093
Cowan, Craig; Esposito, Pierpaolo; Ghoussoub, Nassif; Moradifam, Amir
2010
De Giorgi type results for elliptic systems. Zbl 1275.35094
Fazly, Mostafa; Ghoussoub, Nassif
2013
Borderline variational problems involving fractional Laplacians and critical singularities. Zbl 1336.35357
Ghoussoub, Nassif; Shakerian, Shaya
2015
On the Hénon-Lane-Emden conjecture. Zbl 1285.35024
Fazly, Mostafa; Ghoussoub, Nassif
2014
A variational principle for gradient flows. Zbl 1062.35008
Ghoussoub, N.; Tzou, L.
2004
Self-dual partial differential systems and their variational principles. Zbl 1357.49004
Ghoussoub, Nassif
2009
Regularity of extremal solutions in fourth order nonlinear eigenvalue problems on general domains. Zbl 1196.35152
Cowan, Craig; Esposito, Pierpaolo; Ghoussoub, Nassif
2010
On a fourth order elliptic problem with a singular nonlinearity. Zbl 1181.35114
Cassani, Daniele; Marcos do Ó, João; Ghoussoub, Nassif
2009
A variational theory for monotone vector fields. Zbl 1177.35093
Ghoussoub, Nassif
2008
A lattice renorming theorem and applications to vector-valued processes. Zbl 0479.46010
Davis, William J.; Ghoussoub, Nassif; Lindenstrauss, Joram
1981
Regularity of semi-stable solutions to fourth order nonlinear eigenvalue problems on general domains. Zbl 1291.35151
Cowan, Craig; Ghoussoub, Nassif
2014
Uniqueness of solutions for an elliptic equation modeling MEMS. Zbl 1171.35044
Esposito, Pierpaolo; Ghoussoub, Nassif
2008
Estimates for the quenching time of a parabolic equation modeling electrostatic MEMS. Zbl 1176.35105
Ghoussoub, Nassif; Guo, Yujin
2008
Structure of optimal martingale transport plans in general dimensions. Zbl 1447.60070
Ghoussoub, Nassif; Kim, Young-Heon; Lim, Tongseok
2019
On the weak Radon-Nikodym property. Zbl 0475.46017
Ghoussoub, Nassif; Saab, Elias
1981
Factoring operators through Banach lattices not containing C(0,1). Zbl 0618.46025
Ghoussoub, N.; Johnson, W. B.
1987
On the structure of non-weakly compact operators on Banach lattices. Zbl 0507.46013
Figiel, T.; Ghoussoub, N.; Johnson, W. B.
1981
Martingales, $$G_{delta}$$-embeddings and quotients of $$L_1$$. Zbl 0511.46017
Ghoussoub, N.; Rosenthal, H. P.
1983
Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions. Zbl 1336.35145
Ghoussoub, Nassif; Robert, Frédéric
2016
Estimates on pull-in distances in microelectromechanical systems models and other nonlinear eigenvalue problems. Zbl 1219.35164
Cowan, Craig; Ghoussoub, Nassif
2010
Morse-type information on Palais-Smale sequences obtained by min-max principles. Zbl 0829.58008
Fang, G.; Ghoussoub, N.
1994
On a singularly perturbed Neumann problem with the critical exponent. Zbl 0997.35021
Ghoussoub, Nassif; Gui, Changfeng; Zhu, Meijun
2001
Symmetric Monge-Kantorovich problems and polar decompositions of vector fields. Zbl 1306.49061
Ghoussoub, Nassif; Moameni, Abbas
2014
A self-dual polar factorization for vector fields. Zbl 1264.49048
Ghoussoub, Nassif; Moameni, Abbas
2013
Multiple solutions for a classical problem in the calculus of variations. Zbl 0872.49001
Ekeland, I.; Ghoussoub, N.; Tehrani, T.
1996
A refinement of the Riesz decomposition for amarts and semiamarts. Zbl 0374.60059
Ghoussoub, Nassif; Sucheston, Louis
1978
On the best constant in the Moser-Onofri-Aubin inequality. Zbl 1211.58009
Ghoussoub, Nassif; Lin, Chang-Shou
2010
Antisymmetric Hamiltonians: variational resolutions for Navier-Stokes and other nonlinear evolutions. Zbl 1119.35048
Ghoussoub, Nassif
2007
Elliptic equations with critical growth and a large set of boundary singularities. Zbl 1187.35085
Ghoussoub, Nassif; Robert, Frédéric
2009
Anti-self-dual Lagrangians: variational resolutions of non-self-adjoint equations and dissipative evolutions. (Lagrangiens anti-autoduaux : Résolution variationnelle d’équations non-autoadjointes et de systèmes d’évolution dissipatifs.) Zbl 1170.35308
Ghoussoub, Nassif
2007
Plurisubharmonic martingales and barriers in complex quasi-Banach spaces. Zbl 0678.46013
Ghoussoub, N.; Maurey, B.
1989
Weak compactness in spaces of Bochner integrable functions and the Radon- Nikodym property. Zbl 0477.46041
Ghoussoub, N.; Saab, P.
1984
$$G_{\delta}$$-embeddings in Hilbert space. II. Zbl 0682.46013
Ghoussoub, N.; Maurey, B.
1988
Hardy-singular boundary mass and Sobolev-critical variational problems. Zbl 1379.35077
Ghoussoub, Nassif; Robert, Frédéric
2017
Selfdual variational principles for periodic solutions of Hamiltonian and other dynamical systems. Zbl 1130.35008
Ghoussoub, Nassif; Moameni, Abbas
2007
A counterexample to a problem on points of continuity in Banach spaces. Zbl 0659.46015
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
1987
The Hardy-Schrödinger operator with interior singularity: the remaining cases. Zbl 1384.35012
Ghoussoub, Nassif; Robert, Frédéric
2017
Geometrical implications of certain infinite dimensional decompositions. Zbl 0717.46015
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
1990
Slicings, selections and their applications. Zbl 0780.46008
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
1992
Anti-symmetric Hamiltonians. II: Variational resolutions for Navier-Stokes and other nonlinear evolutions. Zbl 1175.35101
Ghoussoub, Nassif; Moameni, Abbas
2009
Variational representations for $$N$$-cyclically monotone vector fields. Zbl 1307.49008
Galichon, Alfred; Ghoussoub, Nassif
2014
Vector valued subadditive processes and applications in probability. Zbl 0426.60032
Ghoussoub, N.; Steele, J. Michael
1980
Remarks on multi-marginal symmetric Monge-Kantorovich problems. Zbl 1275.49085
Ghoussoub, Nassif; Maurey, Bernard
2014
$$H_{\delta}$$-embeddings in Hilbert space and optimization on $$G_{\delta}$$-sets. Zbl 0606.46005
Ghoussoub, N.; Maurey, B.
1986
Mass and asymptotics associated to fractional Hardy-Schrödinger operators in critical regimes. Zbl 1406.35465
Ghoussoub, Nassif; Robert, Frédéric; Shakerian, Shaya; Zhao, Mingfeng
2018
Optimal transport with controlled dynamics and free end times. Zbl 1398.49008
Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
2018
A min-max principle with a relaxed boundary condition. Zbl 0791.49028
Ghoussoub, N.
1993
Regularity of the extremal solution in a MEMS model with advection. Zbl 1171.35043
Cowan, Craig; Ghoussoub, Nassif
2008
The asymptotic-norming and the Radon-Nikodym properties are equivalent in separable Banach spaces. Zbl 0587.46015
Ghoussoub, N.; Maurey, B.
1985
Counterexamples to several problems on the factorization of bounded linear operators. Zbl 0615.46022
Ghoussoub, N.; Johnson, W. B.
1984
Duality and perturbation methods in critical point theory. Paperback reprint of the 1993 original. Zbl 1143.58300
Ghoussoub, Nassif
2008
Deformation from symmetry and multiplicity of solutions in non-homogeneous problems. Zbl 1004.35053
Chambers, Christine; Ghoussoub, Nassif
2002
Une caractérisation probabiliste de $$l^1$$. Zbl 0379.60050
Benyamini, Yoav; Ghoussoub, Nassif
1978
Banach lattices valued amarts. Zbl 0384.60035
Ghoussoub, N.
1977
Orderamarts: A class of asymptotic martingales. Zbl 0407.60042
Ghoussoub, N.
1979
Summability and vector amarts. Zbl 0407.60043
Ghoussoub, N.
1979
A theory of anti-selfdual Lagrangians: stationary case. Zbl 1070.49028
Ghoussoub, Nassif
2005
A least action principle for steepest descent in a non-convex landscape. Zbl 1084.37060
Ghoussoub, Nassif; McCann, Robert J.
2004
Anti-selfdual Lagrangians. II: Unbounded non self-adjoint operators and evolution equations. Zbl 1223.35023
Ghoussoub, Nassif; Tzou, Leo
2008
$$\mathbb{Z}_2$$-equivariant Ljusternik-Schnirelman theory for non-even functionals. Zbl 0907.58006
Ekeland, I.; Ghoussoub, N.
1998
Second order information of Palais-Smale sequences in the mountain pass theorem. Zbl 0797.49036
Fang, G.; Ghoussoub, N.
1992
A generalized Chacon’s inequality and order convergence of processes. Zbl 0391.60011
Ghoussoub, Nassif; Talagrand, Michel
1978
A theory of anti-selfdual Lagrangians: dynamical case. Zbl 1070.49029
Ghoussoub, Nassif
2005
On the existence of Hamiltonian paths connecting Lagrangian submanifolds. Zbl 1192.37089
Ghoussoub, Nassif; Moameni, Abbas
2008
Hamiltonian systems of PDEs with selfdual boundary conditions. Zbl 1180.35041
Ghoussoub, Nassif; Moameni, Abbas
2009
An improved Moser-Aubin-Onofri inequality for axially symmetric functions on $$S^2$$. Zbl 0905.53026
Feldman, J.; Froese, R.; Ghoussoub, N.; Gui, C.
1998
A dual Moser-Onofri inequality and its extensions to higher dimensional spheres. Zbl 1370.35021
Agueh, Martial; Boroushaki, Shirin; Ghoussoub, Nassif
2017
Superposition of selfdual functionals in non-homogeneous boundary value problems and differential systems. Zbl 1149.35333
Ghoussoub, Nassif
2008
Pluriharmonically dentable complex Banach spaces. Zbl 0683.46016
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
1989
Analytic martingales and plurisubharmonic barriers in complex Banach spaces. Zbl 0684.46021
Ghoussoub, N.; Lindenstrauss, J.; Maurey, B.
1989
PDE methods for optimal Skorokhod embeddings. Zbl 1416.49019
Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
2019
A self-dual variational approach to stochastic partial differential equations. Zbl 1433.60047
Boroushaki, Shirin; Ghoussoub, Nassif
2019
Decoupling of DeGiorgi-type systems via multi-marginal optimal transport. Zbl 1294.49024
Ghoussoub, Nassif; Pass, Brendan
2014
Weak convergence of vector valued martingales. Zbl 0709.60007
Davis, W. J.; Ghoussoub, N.; Johnson, W. B.; Kwapien, S.; Maurey, B.
1990
Processus de Harris abstraits. Zbl 0333.60071
Ghoussoub, N.
1975
Perturbed minimization principles and applications. Zbl 1040.46011
Deville, Robert; Ghoussoub, Nassif
2001
Convergence faible des potentiels de Doob vectoriels. Zbl 0397.60016
Ghoussoub, Nassif; Talagrand, Michel
1979
Structure of optimal martingale transport plans in general dimensions. Zbl 1447.60070
Ghoussoub, Nassif; Kim, Young-Heon; Lim, Tongseok
2019
PDE methods for optimal Skorokhod embeddings. Zbl 1416.49019
Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
2019
A self-dual variational approach to stochastic partial differential equations. Zbl 1433.60047
Boroushaki, Shirin; Ghoussoub, Nassif
2019
Mass and asymptotics associated to fractional Hardy-Schrödinger operators in critical regimes. Zbl 1406.35465
Ghoussoub, Nassif; Robert, Frédéric; Shakerian, Shaya; Zhao, Mingfeng
2018
Optimal transport with controlled dynamics and free end times. Zbl 1398.49008
Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
2018
Mass and extremals associated with the Hardy-Schrödinger operator on hyperbolic space. Zbl 1407.35074
Chan, Hardy; Ghoussoub, Nassif; Mazumdar, Saikat; Shakerian, Shaya; de Oliveira Faria, Luiz Fernando
2018
Hardy-singular boundary mass and Sobolev-critical variational problems. Zbl 1379.35077
Ghoussoub, Nassif; Robert, Frédéric
2017
The Hardy-Schrödinger operator with interior singularity: the remaining cases. Zbl 1384.35012
Ghoussoub, Nassif; Robert, Frédéric
2017
A dual Moser-Onofri inequality and its extensions to higher dimensional spheres. Zbl 1370.35021
Agueh, Martial; Boroushaki, Shirin; Ghoussoub, Nassif
2017
Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions. Zbl 1336.35145
Ghoussoub, Nassif; Robert, Frédéric
2016
Metric selfduality and monotone vector fields on manifolds. Zbl 1350.47036
Ghoussoub, Nassif; Moameni, Abbas
2016
Borderline variational problems involving fractional Laplacians and critical singularities. Zbl 1336.35357
Ghoussoub, Nassif; Shakerian, Shaya
2015
On the Hénon-Lane-Emden conjecture. Zbl 1285.35024
Fazly, Mostafa; Ghoussoub, Nassif
2014
Regularity of semi-stable solutions to fourth order nonlinear eigenvalue problems on general domains. Zbl 1291.35151
Cowan, Craig; Ghoussoub, Nassif
2014
Symmetric Monge-Kantorovich problems and polar decompositions of vector fields. Zbl 1306.49061
Ghoussoub, Nassif; Moameni, Abbas
2014
Variational representations for $$N$$-cyclically monotone vector fields. Zbl 1307.49008
Galichon, Alfred; Ghoussoub, Nassif
2014
Remarks on multi-marginal symmetric Monge-Kantorovich problems. Zbl 1275.49085
Ghoussoub, Nassif; Maurey, Bernard
2014
Decoupling of DeGiorgi-type systems via multi-marginal optimal transport. Zbl 1294.49024
Ghoussoub, Nassif; Pass, Brendan
2014
Pointwise lower bounds for solutions of semilinear elliptic equations and applications. Zbl 1311.35125
Aghajani, Asadollah; Tehrani, Alireza Mosleh; Ghoussoub, Nassif
2014
Functional inequalities. New perspectives and new applications. Zbl 1269.39008
2013
De Giorgi type results for elliptic systems. Zbl 1275.35094
Fazly, Mostafa; Ghoussoub, Nassif
2013
A self-dual polar factorization for vector fields. Zbl 1264.49048
Ghoussoub, Nassif; Moameni, Abbas
2013
Bessel pairs and optimal Hardy and Hardy-Rellich inequalities. Zbl 1216.35018
2011
Homogenization of maximal monotone vector fields via selfdual variational calculus. Zbl 1217.58009
Ghoussoub, Nassif; Moameni, Abbas; Sáiz, Ramón Zárate
2011
Mathematical analysis of partial differential equations modeling electrostatic MEMS. Zbl 1223.35003
Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin
2010
The critical dimension for a fourth-order elliptic problem with singular nonlinearity. Zbl 1225.35093
Cowan, Craig; Esposito, Pierpaolo; Ghoussoub, Nassif; Moradifam, Amir
2010
Regularity of extremal solutions in fourth order nonlinear eigenvalue problems on general domains. Zbl 1196.35152
Cowan, Craig; Esposito, Pierpaolo; Ghoussoub, Nassif
2010
Estimates on pull-in distances in microelectromechanical systems models and other nonlinear eigenvalue problems. Zbl 1219.35164
Cowan, Craig; Ghoussoub, Nassif
2010
On the best constant in the Moser-Onofri-Aubin inequality. Zbl 1211.58009
Ghoussoub, Nassif; Lin, Chang-Shou
2010
Self-dual partial differential systems and their variational principles. Zbl 1357.49004
Ghoussoub, Nassif
2009
On a fourth order elliptic problem with a singular nonlinearity. Zbl 1181.35114
Cassani, Daniele; Marcos do Ó, João; Ghoussoub, Nassif
2009
Elliptic equations with critical growth and a large set of boundary singularities. Zbl 1187.35085
Ghoussoub, Nassif; Robert, Frédéric
2009
Anti-symmetric Hamiltonians. II: Variational resolutions for Navier-Stokes and other nonlinear evolutions. Zbl 1175.35101
Ghoussoub, Nassif; Moameni, Abbas
2009
Hamiltonian systems of PDEs with selfdual boundary conditions. Zbl 1180.35041
Ghoussoub, Nassif; Moameni, Abbas
2009
On the best possible remaining term in the Hardy inequality. Zbl 1205.26033
2008
On the partial differential equations of electrostatic MEMS devices. II: Dynamic case. Zbl 1146.35381
Ghoussoub, Nassif; Guo, Yujin
2008
A variational theory for monotone vector fields. Zbl 1177.35093
Ghoussoub, Nassif
2008
Uniqueness of solutions for an elliptic equation modeling MEMS. Zbl 1171.35044
Esposito, Pierpaolo; Ghoussoub, Nassif
2008
Estimates for the quenching time of a parabolic equation modeling electrostatic MEMS. Zbl 1176.35105
Ghoussoub, Nassif; Guo, Yujin
2008
Regularity of the extremal solution in a MEMS model with advection. Zbl 1171.35043
Cowan, Craig; Ghoussoub, Nassif
2008
Duality and perturbation methods in critical point theory. Paperback reprint of the 1993 original. Zbl 1143.58300
Ghoussoub, Nassif
2008
Anti-selfdual Lagrangians. II: Unbounded non self-adjoint operators and evolution equations. Zbl 1223.35023
Ghoussoub, Nassif; Tzou, Leo
2008
On the existence of Hamiltonian paths connecting Lagrangian submanifolds. Zbl 1192.37089
Ghoussoub, Nassif; Moameni, Abbas
2008
Superposition of selfdual functionals in non-homogeneous boundary value problems and differential systems. Zbl 1149.35333
Ghoussoub, Nassif
2008
On the partial differential equations of electrostatic MEMS devices: stationary case. Zbl 1174.35040
Ghoussoub, Nassif; Guo, Yujin
2007
Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinearity. Zbl 1130.35036
Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin
2007
Antisymmetric Hamiltonians: variational resolutions for Navier-Stokes and other nonlinear evolutions. Zbl 1119.35048
Ghoussoub, Nassif
2007
Anti-self-dual Lagrangians: variational resolutions of non-self-adjoint equations and dissipative evolutions. (Lagrangiens anti-autoduaux : Résolution variationnelle d’équations non-autoadjointes et de systèmes d’évolution dissipatifs.) Zbl 1170.35308
Ghoussoub, Nassif
2007
Selfdual variational principles for periodic solutions of Hamiltonian and other dynamical systems. Zbl 1130.35008
Ghoussoub, Nassif; Moameni, Abbas
2007
The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Zbl 1232.35044
Ghoussoub, N.; Robert, F.
2006
Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth. Zbl 1154.35049
Ghoussoub, N.; Robert, F.
2006
Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows. Zbl 1134.49029
Ghoussoub, Nassif; Tzou, Leo
2006
A theory of anti-selfdual Lagrangians: stationary case. Zbl 1070.49028
Ghoussoub, Nassif
2005
A theory of anti-selfdual Lagrangians: dynamical case. Zbl 1070.49029
Ghoussoub, Nassif
2005
A variational principle for nonlinear transport equations. Zbl 1089.35014
Ghoussoub, Nassif
2005
Hardy-Sobolev critical elliptic equations with boundary singularities. Zbl 1232.35064
Ghoussoub, N.; Kang, X. S.
2004
Geometric inequalities via a general comparison principle for interacting gases. Zbl 1122.82022
Agueh, M.; Ghoussoub, N.; Kang, X.
2004
A variational principle for gradient flows. Zbl 1062.35008
Ghoussoub, N.; Tzou, L.
2004
A least action principle for steepest descent in a non-convex landscape. Zbl 1084.37060
Ghoussoub, Nassif; McCann, Robert J.
2004
On De Giorgi’s conjecture in dimensions 4 and 5. Zbl 1165.35367
Ghoussoub, Nassif; Gui, Changfeng
2003
The optimal evolution of the free energy of interacting gases and its applications. Zbl 1095.49012
Agueh, Martial; Ghoussoub, Nassif; Kang, Xiaosong
2003
Selected new aspects of the calculus of variations in the large. Zbl 1064.35054
Ekeland, Ivar; Ghoussoub, Nassif
2002
Deformation from symmetry and multiplicity of solutions in non-homogeneous problems. Zbl 1004.35053
Chambers, Christine; Ghoussoub, Nassif
2002
On a singularly perturbed Neumann problem with the critical exponent. Zbl 0997.35021
Ghoussoub, Nassif; Gui, Changfeng; Zhu, Meijun
2001
Perturbed minimization principles and applications. Zbl 1040.46011
Deville, Robert; Ghoussoub, Nassif
2001
Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Zbl 0956.35056
Ghoussoub, N.; Yuan, C.
2000
The multiplicity of solutions in non-homogeneous boundary value problems. Zbl 0963.35001
Bolle, Phillipe; Ghoussoub, Nassif; Tehrani, Hossein
2000
On a conjecture of De Giorgi and some related problems. Zbl 0918.35046
Ghoussoub, N.; Gui, C.
1998
Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent. Zbl 0955.35024
Gui, Changfeng; Ghoussoub, Nassif
1998
$$\mathbb{Z}_2$$-equivariant Ljusternik-Schnirelman theory for non-even functionals. Zbl 0907.58006
Ekeland, I.; Ghoussoub, N.
1998
An improved Moser-Aubin-Onofri inequality for axially symmetric functions on $$S^2$$. Zbl 0905.53026
Feldman, J.; Froese, R.; Ghoussoub, N.; Gui, C.
1998
The Conley index and the critical groups via an extension of Gromoll-Meyer theory. Zbl 0898.58006
Chang, K. C.; Ghoussoub, N.
1996
Multiple solutions for a classical problem in the calculus of variations. Zbl 0872.49001
Ekeland, I.; Ghoussoub, N.; Tehrani, T.
1996
New variational principles and multi-peak solutions for Neumann problems involving the critical Sobolev exponent. Zbl 1205.58008
Ghoussoub, Nassif; Gui, Changfeng
1996
Morse-type information on Palais-Smale sequences obtained by min-max principles. Zbl 0829.58008
Fang, G.; Ghoussoub, N.
1994
Duality and perturbation methods in critical point theory. Zbl 0790.58002
Ghoussoub, Nassif
1993
A min-max principle with a relaxed boundary condition. Zbl 0791.49028
Ghoussoub, N.
1993
Slicings, selections and their applications. Zbl 0780.46008
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
1992
Second order information of Palais-Smale sequences in the mountain pass theorem. Zbl 0797.49036
Fang, G.; Ghoussoub, N.
1992
Location, multiplicity and Morse indices of min-max critical points. Zbl 0736.58011
Ghoussoub, N.
1991
Geometrical implications of certain infinite dimensional decompositions. Zbl 0717.46015
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
1990
Weak convergence of vector valued martingales. Zbl 0709.60007
Davis, W. J.; Ghoussoub, N.; Johnson, W. B.; Kwapien, S.; Maurey, B.
1990
A non-linear method for constructing certain basic sequences in Banach spaces. Zbl 0721.46005
Ghoussoub, N.; Maurey, B.
1990
A general mountain pass principle for locating and classifying critical points. Zbl 0711.58008
Ghoussoub, N.; Preiss, D.
1989
Plurisubharmonic martingales and barriers in complex quasi-Banach spaces. Zbl 0678.46013
Ghoussoub, N.; Maurey, B.
1989
Pluriharmonically dentable complex Banach spaces. Zbl 0683.46016
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
1989
Analytic martingales and plurisubharmonic barriers in complex Banach spaces. Zbl 0684.46021
Ghoussoub, N.; Lindenstrauss, J.; Maurey, B.
1989
$$G_{\delta}$$-embeddings in Hilbert space. II. Zbl 0682.46013
Ghoussoub, N.; Maurey, B.
1988
Some topological and geometrical structures in Banach spaces. Zbl 0651.46017
Ghoussoub, N.; Godefroy, G.; Maurey, B.; Schachermayer, W.
1987
Factoring operators through Banach lattices not containing C(0,1). Zbl 0618.46025
Ghoussoub, N.; Johnson, W. B.
1987
A counterexample to a problem on points of continuity in Banach spaces. Zbl 0659.46015
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
1987
$$H_{\delta}$$-embeddings in Hilbert space and optimization on $$G_{\delta}$$-sets. Zbl 0606.46005
Ghoussoub, N.; Maurey, B.
1986
$$G_{\delta}$$-embeddings in Hilbert space. Zbl 0565.46011
Ghoussoub, N.; Maurey, B.
1985
The asymptotic-norming and the Radon-Nikodym properties are equivalent in separable Banach spaces. Zbl 0587.46015
Ghoussoub, N.; Maurey, B.
1985
On the Radon-Nikodym property in function spaces. Zbl 0587.46014
Ghoussoub, N.; Maurey, R.
1985
Weak compactness in spaces of Bochner integrable functions and the Radon- Nikodym property. Zbl 0477.46041
Ghoussoub, N.; Saab, P.
1984
Counterexamples to several problems on the factorization of bounded linear operators. Zbl 0615.46022
Ghoussoub, N.; Johnson, W. B.
1984
A noncompletely continuous operator on $$L_ 1(G)$$ whose random Fourier transform is in $$c_ 0(\hat G)$$. Zbl 0558.47024
Ghoussoub, N.; Talagrand, Michel
1984
Counterexamples to several problems concerning $$G_{\delta}$$-embeddings. Zbl 0559.46007
Ghoussoub, N.; Maurey, B.
1984
Martingales, $$G_{delta}$$-embeddings and quotients of $$L_1$$. Zbl 0511.46017
Ghoussoub, N.; Rosenthal, H. P.
1983
...and 20 more Documents
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#### Cited by 1,390 Authors

 61 Ghoussoub, Nassif A. 44 Wei, Juncheng 34 Kang, Dongsheng 18 Peng, Shuangjie 17 Valdinoci, Enrico 16 López-Pérez, Ginés 15 Fazly, Mostafa 15 Laurençot, Philippe 15 Moameni, Abbas 15 Walker, Christoph 14 Gui, Changfeng 14 Perera, Kanishka 13 Guo, Zongming 12 Del Pino, Manuel A. 12 Kowalczyk, Michał 12 Miyagaki, Olimpio Hiroshi 10 Jiang, Meiyue 10 Lam, Nguyen 10 Liu, Yong 10 Su, Jiabao 10 Wang, Kelei 10 Zhang, Jihui 9 Cabré, Xavier 9 Cao, Daomin 9 Cowan, Craig 9 Guo, Qianqiao 9 Hamel, François 9 Han, Pigong 9 Liu, Chungen 9 Moradifam, Amir 9 Musina, Roberta 9 Niu, Pengcheng 9 Robert, Frédéric 9 Rueda Zoca, Abraham 9 Yan, Shusen 9 Zou, Wenming 8 Becerra Guerrero, Julio 8 Deng, Zhiying 8 Dolbeault, Jean 8 Huang, Yisheng 8 Lai, Baishun 8 Peral Alonso, Ireneo 8 Pucci, Patrizia 8 Salvatore, Addolorata 8 Schechter, Martin 8 Sire, Yannick 8 Soave, Nicola 7 Agueh, Martial 7 Alessio, Francesca 7 Bartsch, Thomas J. 7 Bonheure, Denis 7 Dávila, Juan 7 Dipierro, Serena 7 Drábek, Pavel 7 Escher, Joachim 7 Esposito, Pierpaolo 7 Farina, Alberto 7 Kombe, Ismail 7 Lin, Chang-Shou 7 Marano, Salvatore Angelo 7 Montecchiari, Piero 7 Rodríguez Ruiz, José 7 Ruf, Bernhard 7 Ruzhansky, Michael V. 7 Saoudi, Kamel 7 Suragan, Durvudkhan 7 Tang, Chun-Lei 7 Visintin, Augusto 7 Yang, Minbo 7 Yener, Abdullah 6 Candela, Anna Maria 6 Do Ó, João M. Bezerra 6 Esteban, Maria J. 6 Godefroy, Gilles 6 Guo, Jong-Shenq 6 Guo, Yuxia 6 Jeanjean, Louis 6 Lewin, Mathieu 6 Lienstromberg, Christina 6 Lindsay, Alan E. 6 Lu, Guozhen 6 Molica Bisci, Giovanni 6 Motreanu, Dumitru 6 Nguyễn Văn Hoàng 6 Pacard, Frank 6 Papageorgiou, Nikolaos S. 6 Sreenadh, Konijeti 6 Sun, Mingzheng 6 Tang, Xianhua 6 Tarantello, Gabriella 6 Varga, Csaba György 6 Wang, Chunhua 6 Yang, Jianfu 6 Zhao, Chunshan 5 Berchio, Elvise 5 Berestycki, Henri 5 Bhakta, Mousomi 5 Chabrowski, Jan H. 5 Chen, Jianqing 5 Chen, Yi ...and 1,290 more Authors
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#### Cited in 244 Serials

 147 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 107 Journal of Mathematical Analysis and Applications 94 Journal of Differential Equations 65 Journal of Functional Analysis 55 Calculus of Variations and Partial Differential Equations 38 Proceedings of the American Mathematical Society 32 Transactions of the American Mathematical Society 30 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 28 Discrete and Continuous Dynamical Systems 28 Communications on Pure and Applied Analysis 27 Israel Journal of Mathematics 27 Advanced Nonlinear Studies 25 Communications in Contemporary Mathematics 22 Annali di Matematica Pura ed Applicata. Serie Quarta 21 Mathematische Annalen 20 Applied Mathematics Letters 20 NoDEA. Nonlinear Differential Equations and Applications 19 Advances in Mathematics 19 Communications in Partial Differential Equations 19 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Boundary Value Problems 18 Archive for Rational Mechanics and Analysis 15 Rocky Mountain Journal of Mathematics 14 Abstract and Applied Analysis 13 Complex Variables and Elliptic Equations 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Mediterranean Journal of Mathematics 11 Nonlinear Analysis. Real World Applications 10 Computers & Mathematics with Applications 10 Manuscripta Mathematica 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Science China. Mathematics 9 Mathematische Nachrichten 9 Acta Mathematica Sinica. English Series 9 Discrete and Continuous Dynamical Systems. Series S 8 Applied Mathematics and Computation 8 Archiv der Mathematik 8 Journal of Fixed Point Theory and Applications 8 Advances in Nonlinear Analysis 7 Journal of Mathematical Physics 7 Chinese Annals of Mathematics. Series B 7 European Journal of Applied Mathematics 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Journal of Inequalities and Applications 6 Journal d’Analyse Mathématique 6 Mathematical Methods in the Applied Sciences 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Nonlinearity 6 Journal of Optimization Theory and Applications 6 Acta Mathematicae Applicatae Sinica. English Series 6 Topological Methods in Nonlinear Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Journal of the European Mathematical Society (JEMS) 6 Nonlinear Analysis. Theory, Methods & Applications 5 Bulletin of the Australian Mathematical Society 5 Glasgow Mathematical Journal 5 Mathematische Zeitschrift 5 Monatshefte für Mathematik 5 Acta Applicandae Mathematicae 5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 5 SIAM Journal on Mathematical Analysis 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Set-Valued and Variational Analysis 4 Applicable Analysis 4 Communications on Pure and Applied Mathematics 4 Ricerche di Matematica 4 Optimization 4 The Journal of Geometric Analysis 4 Indagationes Mathematicae. New Series 4 Journal of Mathematical Sciences (New York) 4 Electronic Journal of Differential Equations (EJDE) 4 Taiwanese Journal of Mathematics 4 Mathematical Inequalities & Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Milan Journal of Mathematics 4 Analysis and Applications (Singapore) 4 Advances in Calculus of Variations 3 Communications in Mathematical Physics 3 Indian Journal of Pure & Applied Mathematics 3 Mathematical Notes 3 Studia Mathematica 3 Ukrainian Mathematical Journal 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 The Annals of Probability 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Journal of Multivariate Analysis 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Quarterly of Applied Mathematics 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Stochastic Processes and their Applications 3 Bulletin of the American Mathematical Society. New Series 3 Mathematical Programming. Series A. Series B 3 Journal of Dynamics and Differential Equations 3 Bulletin des Sciences Mathématiques 3 Positivity 3 Annales Henri Poincaré 3 Differential Equations and Applications 3 Journal of Function Spaces 2 Lithuanian Mathematical Journal ...and 144 more Serials
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#### Cited in 45 Fields

 1,040 Partial differential equations (35-XX) 263 Functional analysis (46-XX) 203 Global analysis, analysis on manifolds (58-XX) 177 Operator theory (47-XX) 164 Calculus of variations and optimal control; optimization (49-XX) 105 Real functions (26-XX) 105 Ordinary differential equations (34-XX) 69 Probability theory and stochastic processes (60-XX) 65 Dynamical systems and ergodic theory (37-XX) 54 Differential geometry (53-XX) 41 Mechanics of deformable solids (74-XX) 25 Measure and integration (28-XX) 22 Quantum theory (81-XX) 17 Topological groups, Lie groups (22-XX) 15 General topology (54-XX) 14 Mechanics of particles and systems (70-XX) 14 Optics, electromagnetic theory (78-XX) 13 Potential theory (31-XX) 13 Numerical analysis (65-XX) 12 Operations research, mathematical programming (90-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Abstract harmonic analysis (43-XX) 11 Fluid mechanics (76-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Difference and functional equations (39-XX) 10 Convex and discrete geometry (52-XX) 8 Integral equations (45-XX) 8 Systems theory; control (93-XX) 6 Biology and other natural sciences (92-XX) 5 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 5 Manifolds and cell complexes (57-XX) 4 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Statistics (62-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Special functions (33-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX)

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