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Ghoussoub, Nassif A.

Author ID: ghoussoub.nassif-a Recent zbMATH articles by "Ghoussoub, Nassif A."
Published as: Ghoussoub, Nassif; Ghoussoub, N.; Ghoussoub, N. A.; Ghoussoub, Nassif A.
Homepage: https://www.birs.ca/~nassif/
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 158 Publications since 1975, including 8 Books and 7 Additional arXiv Preprints
1 Further Contribution
Reviewing Activity: 13 Reviews
Biographic References: 1 Publication
Co-Authors: 74 Co-Authors with 123 Joint Publications
1,622 Co-Co-Authors
all top 5

Co-Authors

34 single-authored
16 Maurey, Bernard
10 Moameni, Abbas
9 Robert, Frédéric
8 Kim, Young-Heon
8 Palmer, Aaron Zeff
7 Esposito, Pierpaolo
6 Cowan, Craig
6 Gui, Changfeng
6 Johnson, William Buhmann
6 Schachermayer, Walter
5 Guo, Yujin
5 Moradifam, Amir
4 Talagrand, Michel
3 Agueh, Martial
3 Bowles, Malcolm
3 Dweik, Samer
3 Ekeland, Ivar
3 Kang, Xiaosong
3 Mazumdar, Saikat
3 Shakerian, Shaya
3 Tzou, Leo
2 Barton, Alistair
2 Benyamini, Yoav
2 Boroushaki, Shirin
2 Davis, William Jay
2 Fang, Guangcai
2 Fazly, Mostafa
2 Lim, Tongseok
2 Lindenstrauss, Joram
2 Preiss, David
2 Saab, Elias
1 Adem, Alejandro
1 Aghajani, Asadollah
1 Ardila, Federico
1 Bolle, Philippe
1 Bonato, Anthony
1 Bourgain, Jean
1 Cassani, Daniele
1 Chacon, Rafael V. S.
1 Chambers, Christine
1 Chan, Hardy
1 Chang, Kung-Ching
1 Chayes, Jennifer Tour
1 Chudnovsky, Maria
1 Chung, Fan
1 Daubechies, Ingrid Chantal
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 Jeffrey, Lisa Claire
1 Kwapień, Stanisław
1 Łaba, Izabella
1 Lavenant, Hugo
1 Lin, Chang-Shou
1 Lindenstrauss, Ayelet
1 Lindenstrauss, Elon
1 Lindentrauss, J.
1 Maurey, R.
1 Mazur, Barry
1 McCann, Robert J.
1 Milman, Vitali D.
1 Naor, Assaf
1 Nowakowski, Richard Joseph
1 Ono, Ken
1 Pass, Brendan W.
1 Pisier, Gilles
1 Pistoia, Angela
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 Vaira, Giusi
1 Zhao, Mingfeng
1 Zhu, Meijun
all top 5

Serials

8 Proceedings of the American Mathematical Society
7 Mathematische Annalen
7 Calculus of Variations and Partial Differential Equations
5 Journal of Functional Analysis
5 Transactions of the American Mathematical Society
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 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 Memoirs of the American Mathematical Society
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 of Differential Equations
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 SIAM Journal on Control and Optimization
2 Journal of Dynamical and Control Systems
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Cambridge Tracts in Mathematics
2 Analysis & PDE
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 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 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 Bulletin of Mathematical Sciences
1 Pure and Applied Functional Analysis
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

130 Publications have been cited 3,019 times in 2,012 Documents Cited by Year
Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Zbl 0956.35056
Ghoussoub, N.; Yuan, C.
333
2000
Duality and perturbation methods in critical point theory. Zbl 0790.58002
Ghoussoub, Nassif
239
1993
On a conjecture of De Giorgi and some related problems. Zbl 0918.35046
Ghoussoub, N.; Gui, C.
175
1998
Mathematical analysis of partial differential equations modeling electrostatic MEMS. Zbl 1223.35003
Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin
113
2010
Bessel pairs and optimal Hardy and Hardy-Rellich inequalities. Zbl 1216.35018
Ghoussoub, Nassif; Moradifam, Amir
105
2011
Selected new aspects of the calculus of variations in the large. Zbl 1064.35054
Ekeland, Ivar; Ghoussoub, Nassif
100
2002
A general mountain pass principle for locating and classifying critical points. Zbl 0711.58008
Ghoussoub, N.; Preiss, D.
92
1989
On the partial differential equations of electrostatic MEMS devices: stationary case. Zbl 1174.35040
Ghoussoub, Nassif; Guo, Yujin
89
2007
Functional inequalities. New perspectives and new applications. Zbl 1269.39008
Ghoussoub, Nassif; Moradifam, Amir
88
2013
Hardy-Sobolev critical elliptic equations with boundary singularities. Zbl 1232.35064
Ghoussoub, N.; Kang, X. S.
87
2004
The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Zbl 1232.35044
Ghoussoub, N.; Robert, F.
68
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
61
2007
Some topological and geometrical structures in Banach spaces. Zbl 0651.46017
Ghoussoub, N.; Godefroy, G.; Maurey, B.; Schachermayer, W.
58
1987
Location, multiplicity and Morse indices of min-max critical points. Zbl 0736.58011
Ghoussoub, N.
50
1991
On the best possible remaining term in the Hardy inequality. Zbl 1205.26033
Ghoussoub, Nassif; Moradifam, Amir
50
2008
Borderline variational problems involving fractional Laplacians and critical singularities. Zbl 1336.35357
Ghoussoub, Nassif; Shakerian, Shaya
47
2015
The multiplicity of solutions in non-homogeneous boundary value problems. Zbl 0963.35001
Bolle, Phillipe; Ghoussoub, Nassif; Tehrani, Hossein
46
2000
Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent. Zbl 0955.35024
Gui, Changfeng; Ghoussoub, Nassif
46
1998
On the partial differential equations of electrostatic MEMS devices. II: Dynamic case. Zbl 1146.35381
Ghoussoub, Nassif; Guo, Yujin
45
2008
On the Hénon-Lane-Emden conjecture. Zbl 1285.35024
Fazly, Mostafa; Ghoussoub, Nassif
45
2014
On De Giorgi’s conjecture in dimensions 4 and 5. Zbl 1165.35367
Ghoussoub, Nassif; Gui, Changfeng
42
2003
Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth. Zbl 1154.35049
Ghoussoub, N.; Robert, F.
39
2006
The Conley index and the critical groups via an extension of Gromoll-Meyer theory. Zbl 0898.58006
Chang, K. C.; Ghoussoub, N.
38
1996
Geometric inequalities via a general comparison principle for interacting gases. Zbl 1122.82022
Agueh, M.; Ghoussoub, N.; Kang, X.
36
2004
\(G_{\delta}\)-embeddings in Hilbert space. Zbl 0565.46011
Ghoussoub, N.; Maurey, B.
35
1985
Structure of optimal martingale transport plans in general dimensions. Zbl 1447.60070
Ghoussoub, Nassif; Kim, Young-Heon; Lim, Tongseok
35
2019
The critical dimension for a fourth-order elliptic problem with singular nonlinearity. Zbl 1225.35093
Cowan, Craig; Esposito, Pierpaolo; Ghoussoub, Nassif; Moradifam, Amir
31
2010
Self-dual partial differential systems and their variational principles. Zbl 1357.49004
Ghoussoub, Nassif
29
2009
De Giorgi type results for elliptic systems. Zbl 1275.35094
Fazly, Mostafa; Ghoussoub, Nassif
28
2013
A variational principle for gradient flows. Zbl 1062.35008
Ghoussoub, N.; Tzou, L.
25
2004
Regularity of extremal solutions in fourth order nonlinear eigenvalue problems on general domains. Zbl 1196.35152
Cowan, Craig; Esposito, Pierpaolo; Ghoussoub, Nassif
22
2010
Mass and asymptotics associated to fractional Hardy-Schrödinger operators in critical regimes. Zbl 1406.35465
Ghoussoub, Nassif; Robert, Frédéric; Shakerian, Shaya; Zhao, Mingfeng
22
2018
Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions. Zbl 1336.35145
Ghoussoub, Nassif; Robert, Frédéric
22
2016
On a fourth order elliptic problem with a singular nonlinearity. Zbl 1181.35114
Cassani, Daniele; Marcos do Ó, João; Ghoussoub, Nassif
22
2009
Factoring operators through Banach lattices not containing C(0,1). Zbl 0618.46025
Ghoussoub, N.; Johnson, W. B.
21
1987
Regularity of semi-stable solutions to fourth order nonlinear eigenvalue problems on general domains. Zbl 1291.35151
Cowan, Craig; Ghoussoub, Nassif
21
2014
The Hardy-Schrödinger operator with interior singularity: the remaining cases. Zbl 1384.35012
Ghoussoub, Nassif; Robert, Frédéric
21
2017
Uniqueness of solutions for an elliptic equation modeling MEMS. Zbl 1171.35044
Esposito, Pierpaolo; Ghoussoub, Nassif
20
2008
A variational theory for monotone vector fields. Zbl 1177.35093
Ghoussoub, Nassif
20
2008
Estimates on pull-in distances in microelectromechanical systems models and other nonlinear eigenvalue problems. Zbl 1219.35164
Cowan, Craig; Ghoussoub, Nassif
18
2010
A lattice renorming theorem and applications to vector-valued processes. Zbl 0479.46010
Davis, William J.; Ghoussoub, Nassif; Lindenstrauss, Joram
18
1981
Hardy-singular boundary mass and Sobolev-critical variational problems. Zbl 1379.35077
Ghoussoub, Nassif; Robert, Frédéric
18
2017
Estimates for the quenching time of a parabolic equation modeling electrostatic MEMS. Zbl 1176.35105
Ghoussoub, Nassif; Guo, Yujin
17
2008
Martingales, \(G_{delta}\)-embeddings and quotients of \(L_1\). Zbl 0511.46017
Ghoussoub, N.; Rosenthal, H. P.
16
1983
Symmetric Monge-Kantorovich problems and polar decompositions of vector fields. Zbl 1306.49061
Ghoussoub, Nassif; Moameni, Abbas
16
2014
On the structure of non-weakly compact operators on Banach lattices. Zbl 0507.46013
Figiel, T.; Ghoussoub, N.; Johnson, W. B.
15
1981
On a singularly perturbed Neumann problem with the critical exponent. Zbl 0997.35021
Ghoussoub, Nassif; Gui, Changfeng; Zhu, Meijun
15
2001
On the weak Radon-Nikodym property. Zbl 0475.46017
Ghoussoub, Nassif; Saab, Elias
15
1981
Morse-type information on Palais-Smale sequences obtained by min-max principles. Zbl 0829.58008
Fang, G.; Ghoussoub, N.
15
1994
Multiple solutions for a classical problem in the calculus of variations. Zbl 0872.49001
Ekeland, I.; Ghoussoub, N.; Tehrani, T.
13
1996
On the best constant in the Moser-Onofri-Aubin inequality. Zbl 1211.58009
Ghoussoub, Nassif; Lin, Chang-Shou
13
2010
A self-dual polar factorization for vector fields. Zbl 1264.49048
Ghoussoub, Nassif; Moameni, Abbas
13
2013
Selfdual variational principles for periodic solutions of Hamiltonian and other dynamical systems. Zbl 1130.35008
Ghoussoub, Nassif; Moameni, Abbas
12
2007
Antisymmetric Hamiltonians: variational resolutions for Navier-Stokes and other nonlinear evolutions. Zbl 1119.35048
Ghoussoub, Nassif
11
2007
A refinement of the Riesz decomposition for amarts and semiamarts. Zbl 0374.60059
Ghoussoub, Nassif; Sucheston, Louis
11
1978
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
11
2007
Elliptic equations with critical growth and a large set of boundary singularities. Zbl 1187.35085
Ghoussoub, Nassif; Robert, Frédéric
10
2009
Plurisubharmonic martingales and barriers in complex quasi-Banach spaces. Zbl 0678.46013
Ghoussoub, N.; Maurey, B.
10
1989
\(H_{\delta}\)-embeddings in Hilbert space and optimization on \(G_{\delta}\)-sets. Zbl 0606.46005
Ghoussoub, N.; Maurey, B.
9
1986
Weak compactness in spaces of Bochner integrable functions and the Radon- Nikodym property. Zbl 0477.46041
Ghoussoub, N.; Saab, P.
9
1984
Geometrical implications of certain infinite dimensional decompositions. Zbl 0717.46015
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
9
1990
A counterexample to a problem on points of continuity in Banach spaces. Zbl 0659.46015
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
9
1987
\(G_{\delta}\)-embeddings in Hilbert space. II. Zbl 0682.46013
Ghoussoub, N.; Maurey, B.
9
1988
Anti-symmetric Hamiltonians. II: Variational resolutions for Navier-Stokes and other nonlinear evolutions. Zbl 1175.35101
Ghoussoub, Nassif; Moameni, Abbas
9
2009
A min-max principle with a relaxed boundary condition. Zbl 0791.49028
Ghoussoub, N.
8
1993
Second order information of Palais-Smale sequences in the mountain pass theorem. Zbl 0797.49036
Fang, G.; Ghoussoub, N.
7
1992
Slicings, selections and their applications. Zbl 0780.46008
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
7
1992
Remarks on multi-marginal symmetric Monge-Kantorovich problems. Zbl 1275.49085
Ghoussoub, Nassif; Maurey, Bernard
7
2014
Vector valued subadditive processes and applications in probability. Zbl 0426.60032
Ghoussoub, N.; Steele, J. Michael
7
1980
Deformation from symmetry and multiplicity of solutions in non-homogeneous problems. Zbl 1004.35053
Chambers, Christine; Ghoussoub, Nassif
7
2002
Variational representations for \(N\)-cyclically monotone vector fields. Zbl 1307.49008
Galichon, Alfred; Ghoussoub, Nassif
7
2014
Counterexamples to several problems on the factorization of bounded linear operators. Zbl 0615.46022
Ghoussoub, N.; Johnson, W. B.
6
1984
Duality and perturbation methods in critical point theory. Paperback reprint of the 1993 original. Zbl 1143.58300
Ghoussoub, Nassif
6
2008
An integral representation of randomized probabilities and its applications. Zbl 0493.60005
Ghoussoub, Nassif
6
1982
Optimal transport with controlled dynamics and free end times. Zbl 1398.49008
Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
6
2018
Regularity of the extremal solution in a MEMS model with advection. Zbl 1171.35043
Cowan, Craig; Ghoussoub, Nassif
6
2008
An improved Moser-Aubin-Onofri inequality for axially symmetric functions on \(S^2\). Zbl 0905.53026
Feldman, J.; Froese, R.; Ghoussoub, N.; Gui, C.
6
1998
PDE methods for optimal Skorokhod embeddings. Zbl 1416.49019
Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
6
2019
Sign-changing solutions for critical equations with Hardy potential. Zbl 1473.35290
Esposito, Pierpaolo; Ghoussoub, Nassif; Pistoia, Angela; Vaira, Giusi
6
2021
The asymptotic-norming and the Radon-Nikodym properties are equivalent in separable Banach spaces. Zbl 0587.46015
Ghoussoub, N.; Maurey, B.
5
1985
A least action principle for steepest descent in a non-convex landscape. Zbl 1084.37060
Ghoussoub, Nassif; McCann, Robert J.
5
2004
\(\mathbb{Z}_2\)-equivariant Ljusternik-Schnirelman theory for non-even functionals. Zbl 0907.58006
Ekeland, I.; Ghoussoub, N.
5
1998
A solution to the Monge transport problem for Brownian martingales. Zbl 1475.49056
Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
5
2021
A theory of anti-selfdual Lagrangians: stationary case. Zbl 1070.49028
Ghoussoub, Nassif
4
2005
Banach lattices valued amarts. Zbl 0384.60035
Ghoussoub, N.
4
1977
Anti-selfdual Lagrangians. II: Unbounded non self-adjoint operators and evolution equations. Zbl 1223.35023
Ghoussoub, Nassif; Tzou, Leo
4
2008
Une caractérisation probabiliste de \(l^1\). Zbl 0379.60050
Benyamini, Yoav; Ghoussoub, Nassif
4
1978
Order dentability and the Radon-Nikodym property in Banach lattices. Zbl 0396.60044
Ghoussoub, N.; Talagrand, M.
4
1979
Orderamarts: A class of asymptotic martingales. Zbl 0407.60042
Ghoussoub, N.
4
1979
Summability and vector amarts. Zbl 0407.60043
Ghoussoub, N.
4
1979
A self-dual variational approach to stochastic partial differential equations. Zbl 1433.60047
Boroushaki, Shirin; Ghoussoub, Nassif
4
2019
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
4
2018
Pluriharmonically dentable complex Banach spaces. Zbl 0683.46016
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
4
1989
Analytic martingales and plurisubharmonic barriers in complex Banach spaces. Zbl 0684.46021
Ghoussoub, N.; Lindenstrauss, J.; Maurey, B.
4
1989
Counterexamples to several problems concerning \(G_{\delta}\)-embeddings. Zbl 0559.46007
Ghoussoub, N.; Maurey, B.
3
1984
Hamiltonian systems of PDEs with selfdual boundary conditions. Zbl 1180.35041
Ghoussoub, Nassif; Moameni, Abbas
3
2009
A generalized Chacon’s inequality and order convergence of processes. Zbl 0391.60011
Ghoussoub, Nassif; Talagrand, Michel
3
1978
Superposition of selfdual functionals in non-homogeneous boundary value problems and differential systems. Zbl 1149.35333
Ghoussoub, Nassif
3
2008
Perturbed minimization principles and applications. Zbl 1040.46011
Deville, Robert; Ghoussoub, Nassif
3
2001
A theory of anti-selfdual Lagrangians: dynamical case. Zbl 1070.49029
Ghoussoub, Nassif
3
2005
The Hardy-Schrödinger operator on the Poincaré ball: compactness, multiplicity, and stability of the Pohozaev obstruction. Zbl 1496.35193
Ghoussoub, Nassif; Mazumdar, Saikat; Robert, Frédéric
2
2022
Sign-changing solutions for critical equations with Hardy potential. Zbl 1473.35290
Esposito, Pierpaolo; Ghoussoub, Nassif; Pistoia, Angela; Vaira, Giusi
6
2021
A solution to the Monge transport problem for Brownian martingales. Zbl 1475.49056
Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
5
2021
Hidden convexity in a problem of nonlinear elasticity. Zbl 1471.74011
Ghoussoub, Nassif; Kim, Young-Heon; Lavenant, Hugo; Palmer, Aaron Zeff
1
2021
Stochastic optimal transport with free end time. Zbl 1469.35090
Dweik, Samer; Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
1
2021
Optimal Brownian stopping when the source and target are radially symmetric distributions. Zbl 1450.60031
Ghoussoub, Nassif; Kim, Young-Heon; Lim, Tongseok
3
2020
Optimal controlled transports with free end times subject to import/export tariffs. Zbl 1466.49040
Dweik, Samer; Ghoussoub, Nassif; Palmer, Aaron Zeff
1
2020
Structure of optimal martingale transport plans in general dimensions. Zbl 1447.60070
Ghoussoub, Nassif; Kim, Young-Heon; Lim, Tongseok
35
2019
PDE methods for optimal Skorokhod embeddings. Zbl 1416.49019
Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
6
2019
A self-dual variational approach to stochastic partial differential equations. Zbl 1433.60047
Boroushaki, Shirin; Ghoussoub, Nassif
4
2019
Dynamic and stochastic propagation of the Brenier optimal mass transport. Zbl 1428.49048
Barton, Alistair; Ghoussoub, Nassif
1
2019
Mass and asymptotics associated to fractional Hardy-Schrödinger operators in critical regimes. Zbl 1406.35465
Ghoussoub, Nassif; Robert, Frédéric; Shakerian, Shaya; Zhao, Mingfeng
22
2018
Optimal transport with controlled dynamics and free end times. Zbl 1398.49008
Ghoussoub, Nassif; Kim, Young-Heon; Palmer, Aaron Zeff
6
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
4
2018
The Hardy-Schrödinger operator with interior singularity: the remaining cases. Zbl 1384.35012
Ghoussoub, Nassif; Robert, Frédéric
21
2017
Hardy-singular boundary mass and Sobolev-critical variational problems. Zbl 1379.35077
Ghoussoub, Nassif; Robert, Frédéric
18
2017
A dual Moser-Onofri inequality and its extensions to higher dimensional spheres. Zbl 1370.35021
Agueh, Martial; Boroushaki, Shirin; Ghoussoub, Nassif
3
2017
Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions. Zbl 1336.35145
Ghoussoub, Nassif; Robert, Frédéric
22
2016
Metric selfduality and monotone vector fields on manifolds. Zbl 1350.47036
Ghoussoub, Nassif; Moameni, Abbas
1
2016
Borderline variational problems involving fractional Laplacians and critical singularities. Zbl 1336.35357
Ghoussoub, Nassif; Shakerian, Shaya
47
2015
On the Hénon-Lane-Emden conjecture. Zbl 1285.35024
Fazly, Mostafa; Ghoussoub, Nassif
45
2014
Regularity of semi-stable solutions to fourth order nonlinear eigenvalue problems on general domains. Zbl 1291.35151
Cowan, Craig; Ghoussoub, Nassif
21
2014
Symmetric Monge-Kantorovich problems and polar decompositions of vector fields. Zbl 1306.49061
Ghoussoub, Nassif; Moameni, Abbas
16
2014
Remarks on multi-marginal symmetric Monge-Kantorovich problems. Zbl 1275.49085
Ghoussoub, Nassif; Maurey, Bernard
7
2014
Variational representations for \(N\)-cyclically monotone vector fields. Zbl 1307.49008
Galichon, Alfred; Ghoussoub, Nassif
7
2014
Pointwise lower bounds for solutions of semilinear elliptic equations and applications. Zbl 1311.35125
Aghajani, Asadollah; Tehrani, Alireza Mosleh; Ghoussoub, Nassif
3
2014
Decoupling of DeGiorgi-type systems via multi-marginal optimal transport. Zbl 1294.49024
Ghoussoub, Nassif; Pass, Brendan
3
2014
Functional inequalities. New perspectives and new applications. Zbl 1269.39008
Ghoussoub, Nassif; Moradifam, Amir
88
2013
De Giorgi type results for elliptic systems. Zbl 1275.35094
Fazly, Mostafa; Ghoussoub, Nassif
28
2013
A self-dual polar factorization for vector fields. Zbl 1264.49048
Ghoussoub, Nassif; Moameni, Abbas
13
2013
Bessel pairs and optimal Hardy and Hardy-Rellich inequalities. Zbl 1216.35018
Ghoussoub, Nassif; Moradifam, Amir
105
2011
Homogenization of maximal monotone vector fields via selfdual variational calculus. Zbl 1217.58009
Ghoussoub, Nassif; Moameni, Abbas; Sáiz, Ramón Zárate
2
2011
Mathematical analysis of partial differential equations modeling electrostatic MEMS. Zbl 1223.35003
Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin
113
2010
The critical dimension for a fourth-order elliptic problem with singular nonlinearity. Zbl 1225.35093
Cowan, Craig; Esposito, Pierpaolo; Ghoussoub, Nassif; Moradifam, Amir
31
2010
Regularity of extremal solutions in fourth order nonlinear eigenvalue problems on general domains. Zbl 1196.35152
Cowan, Craig; Esposito, Pierpaolo; Ghoussoub, Nassif
22
2010
Estimates on pull-in distances in microelectromechanical systems models and other nonlinear eigenvalue problems. Zbl 1219.35164
Cowan, Craig; Ghoussoub, Nassif
18
2010
On the best constant in the Moser-Onofri-Aubin inequality. Zbl 1211.58009
Ghoussoub, Nassif; Lin, Chang-Shou
13
2010
Self-dual partial differential systems and their variational principles. Zbl 1357.49004
Ghoussoub, Nassif
29
2009
On a fourth order elliptic problem with a singular nonlinearity. Zbl 1181.35114
Cassani, Daniele; Marcos do Ó, João; Ghoussoub, Nassif
22
2009
Elliptic equations with critical growth and a large set of boundary singularities. Zbl 1187.35085
Ghoussoub, Nassif; Robert, Frédéric
10
2009
Anti-symmetric Hamiltonians. II: Variational resolutions for Navier-Stokes and other nonlinear evolutions. Zbl 1175.35101
Ghoussoub, Nassif; Moameni, Abbas
9
2009
Hamiltonian systems of PDEs with selfdual boundary conditions. Zbl 1180.35041
Ghoussoub, Nassif; Moameni, Abbas
3
2009
On the best possible remaining term in the Hardy inequality. Zbl 1205.26033
Ghoussoub, Nassif; Moradifam, Amir
50
2008
On the partial differential equations of electrostatic MEMS devices. II: Dynamic case. Zbl 1146.35381
Ghoussoub, Nassif; Guo, Yujin
45
2008
Uniqueness of solutions for an elliptic equation modeling MEMS. Zbl 1171.35044
Esposito, Pierpaolo; Ghoussoub, Nassif
20
2008
A variational theory for monotone vector fields. Zbl 1177.35093
Ghoussoub, Nassif
20
2008
Estimates for the quenching time of a parabolic equation modeling electrostatic MEMS. Zbl 1176.35105
Ghoussoub, Nassif; Guo, Yujin
17
2008
Duality and perturbation methods in critical point theory. Paperback reprint of the 1993 original. Zbl 1143.58300
Ghoussoub, Nassif
6
2008
Regularity of the extremal solution in a MEMS model with advection. Zbl 1171.35043
Cowan, Craig; Ghoussoub, Nassif
6
2008
Anti-selfdual Lagrangians. II: Unbounded non self-adjoint operators and evolution equations. Zbl 1223.35023
Ghoussoub, Nassif; Tzou, Leo
4
2008
Superposition of selfdual functionals in non-homogeneous boundary value problems and differential systems. Zbl 1149.35333
Ghoussoub, Nassif
3
2008
On the existence of Hamiltonian paths connecting Lagrangian submanifolds. Zbl 1192.37089
Ghoussoub, Nassif; Moameni, Abbas
3
2008
On the partial differential equations of electrostatic MEMS devices: stationary case. Zbl 1174.35040
Ghoussoub, Nassif; Guo, Yujin
89
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
61
2007
Selfdual variational principles for periodic solutions of Hamiltonian and other dynamical systems. Zbl 1130.35008
Ghoussoub, Nassif; Moameni, Abbas
12
2007
Antisymmetric Hamiltonians: variational resolutions for Navier-Stokes and other nonlinear evolutions. Zbl 1119.35048
Ghoussoub, Nassif
11
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
11
2007
The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Zbl 1232.35044
Ghoussoub, N.; Robert, F.
68
2006
Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth. Zbl 1154.35049
Ghoussoub, N.; Robert, F.
39
2006
Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows. Zbl 1134.49029
Ghoussoub, Nassif; Tzou, Leo
1
2006
A theory of anti-selfdual Lagrangians: stationary case. Zbl 1070.49028
Ghoussoub, Nassif
4
2005
A theory of anti-selfdual Lagrangians: dynamical case. Zbl 1070.49029
Ghoussoub, Nassif
3
2005
A variational principle for nonlinear transport equations. Zbl 1089.35014
Ghoussoub, Nassif
2
2005
Hardy-Sobolev critical elliptic equations with boundary singularities. Zbl 1232.35064
Ghoussoub, N.; Kang, X. S.
87
2004
Geometric inequalities via a general comparison principle for interacting gases. Zbl 1122.82022
Agueh, M.; Ghoussoub, N.; Kang, X.
36
2004
A variational principle for gradient flows. Zbl 1062.35008
Ghoussoub, N.; Tzou, L.
25
2004
A least action principle for steepest descent in a non-convex landscape. Zbl 1084.37060
Ghoussoub, Nassif; McCann, Robert J.
5
2004
On De Giorgi’s conjecture in dimensions 4 and 5. Zbl 1165.35367
Ghoussoub, Nassif; Gui, Changfeng
42
2003
The optimal evolution of the free energy of interacting gases and its applications. Zbl 1095.49012
Agueh, Martial; Ghoussoub, Nassif; Kang, Xiaosong
1
2003
Selected new aspects of the calculus of variations in the large. Zbl 1064.35054
Ekeland, Ivar; Ghoussoub, Nassif
100
2002
Deformation from symmetry and multiplicity of solutions in non-homogeneous problems. Zbl 1004.35053
Chambers, Christine; Ghoussoub, Nassif
7
2002
On a singularly perturbed Neumann problem with the critical exponent. Zbl 0997.35021
Ghoussoub, Nassif; Gui, Changfeng; Zhu, Meijun
15
2001
Perturbed minimization principles and applications. Zbl 1040.46011
Deville, Robert; Ghoussoub, Nassif
3
2001
Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Zbl 0956.35056
Ghoussoub, N.; Yuan, C.
333
2000
The multiplicity of solutions in non-homogeneous boundary value problems. Zbl 0963.35001
Bolle, Phillipe; Ghoussoub, Nassif; Tehrani, Hossein
46
2000
On a conjecture of De Giorgi and some related problems. Zbl 0918.35046
Ghoussoub, N.; Gui, C.
175
1998
Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent. Zbl 0955.35024
Gui, Changfeng; Ghoussoub, Nassif
46
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.
6
1998
\(\mathbb{Z}_2\)-equivariant Ljusternik-Schnirelman theory for non-even functionals. Zbl 0907.58006
Ekeland, I.; Ghoussoub, N.
5
1998
The Conley index and the critical groups via an extension of Gromoll-Meyer theory. Zbl 0898.58006
Chang, K. C.; Ghoussoub, N.
38
1996
Multiple solutions for a classical problem in the calculus of variations. Zbl 0872.49001
Ekeland, I.; Ghoussoub, N.; Tehrani, T.
13
1996
New variational principles and multi-peak solutions for Neumann problems involving the critical Sobolev exponent. Zbl 1205.58008
Ghoussoub, Nassif; Gui, Changfeng
2
1996
Morse-type information on Palais-Smale sequences obtained by min-max principles. Zbl 0829.58008
Fang, G.; Ghoussoub, N.
15
1994
Duality and perturbation methods in critical point theory. Zbl 0790.58002
Ghoussoub, Nassif
239
1993
A min-max principle with a relaxed boundary condition. Zbl 0791.49028
Ghoussoub, N.
8
1993
Second order information of Palais-Smale sequences in the mountain pass theorem. Zbl 0797.49036
Fang, G.; Ghoussoub, N.
7
1992
Slicings, selections and their applications. Zbl 0780.46008
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
7
1992
Location, multiplicity and Morse indices of min-max critical points. Zbl 0736.58011
Ghoussoub, N.
50
1991
Geometrical implications of certain infinite dimensional decompositions. Zbl 0717.46015
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
9
1990
Weak convergence of vector valued martingales. Zbl 0709.60007
Davis, W. J.; Ghoussoub, N.; Johnson, W. B.; Kwapien, S.; Maurey, B.
2
1990
A non-linear method for constructing certain basic sequences in Banach spaces. Zbl 0721.46005
Ghoussoub, N.; Maurey, B.
1
1990
A general mountain pass principle for locating and classifying critical points. Zbl 0711.58008
Ghoussoub, N.; Preiss, D.
92
1989
Plurisubharmonic martingales and barriers in complex quasi-Banach spaces. Zbl 0678.46013
Ghoussoub, N.; Maurey, B.
10
1989
Pluriharmonically dentable complex Banach spaces. Zbl 0683.46016
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
4
1989
Analytic martingales and plurisubharmonic barriers in complex Banach spaces. Zbl 0684.46021
Ghoussoub, N.; Lindenstrauss, J.; Maurey, B.
4
1989
\(G_{\delta}\)-embeddings in Hilbert space. II. Zbl 0682.46013
Ghoussoub, N.; Maurey, B.
9
1988
Some topological and geometrical structures in Banach spaces. Zbl 0651.46017
Ghoussoub, N.; Godefroy, G.; Maurey, B.; Schachermayer, W.
58
1987
Factoring operators through Banach lattices not containing C(0,1). Zbl 0618.46025
Ghoussoub, N.; Johnson, W. B.
21
1987
A counterexample to a problem on points of continuity in Banach spaces. Zbl 0659.46015
Ghoussoub, N.; Maurey, B.; Schachermayer, W.
9
1987
\(H_{\delta}\)-embeddings in Hilbert space and optimization on \(G_{\delta}\)-sets. Zbl 0606.46005
Ghoussoub, N.; Maurey, B.
9
1986
...and 30 more Documents
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Cited by 1,800 Authors

68 Ghoussoub, Nassif A.
49 Wei, Juncheng
35 Kang, Dongsheng
24 Lam, Nguyen
21 Su, Jiabao
20 Gui, Changfeng
19 Valdinoci, Enrico
18 López-Pérez, Ginés
18 Peng, Shuangjie
18 Zou, Wenming
17 Laurençot, Philippe
17 Perera, Kanishka
17 Tang, Chun-Lei
17 Walker, Christoph
16 Fazly, Mostafa
15 Guo, Zongming
14 Kowalczyk, Michał
14 Miyagaki, Olimpio Hiroshi
14 Wang, Kelei
13 Cowan, Craig
13 Del Pino, Manuel A.
13 Liu, Yong
13 Moameni, Abbas
13 Nguyen Tuan Duy
13 Rueda Zoca, Abraham
12 Lu, Guozhen
12 Rădulescu, Vicenţiu D.
12 Sun, Mingzheng
12 Tang, Xianhua
11 Jeanjean, Louis
11 Jiang, Meiyue
11 Robert, Frédéric
11 Wang, Cong
11 Zhang, Jihui
11 Zhang, Zhitao
10 Guo, Qianqiao
10 Hamel, François
10 Liu, Chungen
10 Moradifam, Amir
10 Musina, Roberta
9 Becerra Guerrero, Julio
9 Cabré, Xavier
9 Cao, Daomin
9 Deng, Zhiying
9 Dipierro, Serena
9 Esposito, Pierpaolo
9 Han, Pigong
9 Huang, Yisheng
9 Lai, Baishun
9 Montecchiari, Piero
9 Motreanu, Dumitru
9 Niu, Pengcheng
9 Ruzhansky, Michael V.
9 Soave, Nicola
9 Yan, Shusen
8 Alessio, Francesca G.
8 Bartsch, Thomas J.
8 Dávila, Juan
8 Dolbeault, Jean
8 Drábek, Pavel
8 Ganguly, Debdip
8 He, Xiaoming
8 Hsu, TsingSan
8 Marano, Salvatore Angelo
8 Peral Alonso, Ireneo
8 Pucci, Patrizia
8 Salvatore, Addolorata
8 Saoudi, Kamel
8 Schechter, Martin
8 Sire, Yannick
8 Suragan, Durvudkhan
8 Yang, Minbo
7 Aghajani, Asadollah
7 Agueh, Martial
7 Alves, Claudianor Oliveira
7 Bonheure, Denis
7 Cazacu, Cristian M.
7 Do Ó, João M. Bezerra
7 Escher, Joachim
7 Farina, Alberto
7 Guo, Jong-Shenq
7 Guo, Yuxia
7 Kavallaris, Nikos Ioannis
7 Kim, Young-Heon
7 Kombe, Ismail
7 Li, Yuanyuan
7 Lienstromberg, Christina
7 Lin, Chang-Shou
7 Luo, Xiao
7 Nguyễn Văn Hoàng
7 Pacard, Frank
7 Papageorgiou, Nikolaos S.
7 Rodríguez Ruiz, José
7 Ruf, Bernhard
7 Visintin, Augusto
7 Yang, Jianfu
7 Yang, Tao
7 Yener, Abdullah
7 Zhang, Jinguo
7 Zhao, Leiga
...and 1,700 more Authors
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Cited in 300 Serials

156 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
129 Journal of Mathematical Analysis and Applications
116 Journal of Differential Equations
80 Journal of Functional Analysis
79 Calculus of Variations and Partial Differential Equations
41 Proceedings of the American Mathematical Society
39 Communications on Pure and Applied Analysis
38 Discrete and Continuous Dynamical Systems
37 Advanced Nonlinear Studies
34 Transactions of the American Mathematical Society
31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
30 Communications in Contemporary Mathematics
28 Israel Journal of Mathematics
27 NoDEA. Nonlinear Differential Equations and Applications
26 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Boundary Value Problems
25 Complex Variables and Elliptic Equations
24 The Journal of Geometric Analysis
23 Advances in Mathematics
23 Mathematische Annalen
21 Archive for Rational Mechanics and Analysis
21 Applied Mathematics Letters
21 Communications in Partial Differential Equations
20 Mathematical Methods in the Applied Sciences
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
18 Mediterranean Journal of Mathematics
17 Rocky Mountain Journal of Mathematics
17 Mathematische Nachrichten
14 Journal of Mathematical Physics
14 Abstract and Applied Analysis
14 Nonlinear Analysis. Real World Applications
14 Journal of Fixed Point Theory and Applications
13 Nonlinearity
13 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Science China. Mathematics
13 Advances in Nonlinear Analysis
12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
12 Discrete and Continuous Dynamical Systems. Series S
11 Manuscripta Mathematica
11 Topological Methods in Nonlinear Analysis
10 Computers & Mathematics with Applications
10 SIAM Journal on Mathematical Analysis
10 Journal of Inequalities and Applications
9 Journal d’Analyse Mathématique
9 Archiv der Mathematik
9 Chinese Annals of Mathematics. Series B
9 Electronic Journal of Differential Equations (EJDE)
9 Acta Mathematica Sinica. English Series
8 Applicable Analysis
8 Communications on Pure and Applied Mathematics
8 Applied Mathematics and Computation
8 Mathematische Zeitschrift
8 The Annals of Applied Probability
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8 Journal of the European Mathematical Society (JEMS)
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Acta Applicandae Mathematicae
7 European Journal of Applied Mathematics
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
7 Nonlinear Analysis. Theory, Methods & Applications
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Journal of Optimization Theory and Applications
6 Acta Mathematicae Applicatae Sinica. English Series
6 Acta Mathematica Scientia. Series B. (English Edition)
5 Bulletin of the Australian Mathematical Society
5 Glasgow Mathematical Journal
5 Journal für die Reine und Angewandte Mathematik
5 Monatshefte für Mathematik
5 Quarterly of Applied Mathematics
5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
5 Journal of Dynamics and Differential Equations
5 Annales Academiae Scientiarum Fennicae. Mathematica
5 Mathematical Inequalities & Applications
5 Analysis and Applications (Singapore)
5 Advances in Calculus of Variations
5 Set-Valued and Variational Analysis
5 Journal of Pseudo-Differential Operators and Applications
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Journal of Function Spaces
5 Mathematics in Engineering
5 SN Partial Differential Equations and Applications
4 Indian Journal of Pure & Applied Mathematics
4 Mathematical Notes
4 Studia Mathematica
4 Inventiones Mathematicae
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Proceedings of the London Mathematical Society. Third Series
4 Ricerche di Matematica
4 Optimization
4 Probability Theory and Related Fields
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Stochastic Processes and their Applications
4 Mathematical Programming. Series A. Series B
4 Indagationes Mathematicae. New Series
4 Potential Analysis
4 Journal of Mathematical Sciences (New York)
4 Positivity
4 Taiwanese Journal of Mathematics
4 Revista Matemática Complutense
...and 200 more Serials
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Cited in 50 Fields

1,414 Partial differential equations (35-XX)
334 Functional analysis (46-XX)
253 Global analysis, analysis on manifolds (58-XX)
212 Calculus of variations and optimal control; optimization (49-XX)
205 Operator theory (47-XX)
155 Real functions (26-XX)
124 Ordinary differential equations (34-XX)
102 Probability theory and stochastic processes (60-XX)
78 Dynamical systems and ergodic theory (37-XX)
71 Differential geometry (53-XX)
56 Mechanics of deformable solids (74-XX)
32 Quantum theory (81-XX)
29 Measure and integration (28-XX)
22 Potential theory (31-XX)
22 Mechanics of particles and systems (70-XX)
21 Numerical analysis (65-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Topological groups, Lie groups (22-XX)
19 Operations research, mathematical programming (90-XX)
18 General topology (54-XX)
18 Optics, electromagnetic theory (78-XX)
16 Fluid mechanics (76-XX)
15 Abstract harmonic analysis (43-XX)
14 Difference and functional equations (39-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Convex and discrete geometry (52-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
10 Systems theory; control (93-XX)
9 Integral equations (45-XX)
9 Biology and other natural sciences (92-XX)
7 Approximations and expansions (41-XX)
7 Manifolds and cell complexes (57-XX)
6 Functions of a complex variable (30-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Statistics (62-XX)
4 Mathematical logic and foundations (03-XX)
4 Nonassociative rings and algebras (17-XX)
4 Special functions (33-XX)
3 General and overarching topics; collections (00-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Information and communication theory, circuits (94-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Algebraic geometry (14-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

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