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Hofer, Helmut H. W.

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Author ID: hofer.helmut-h-w Recent zbMATH articles by "Hofer, Helmut H. W."
Published as: Hofer, H.; Hofer, Helmut; Hofer, Helmut W.; Hofer, Helmut H. W.
Homepage: https://www.math.ias.edu/people/faculty/hofer
External Links: MGP · ORCID · Wikidata · GND · IdRef
Documents Indexed: 93 Publications since 1981, including 5 Books
11 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 40 Co-Authors with 79 Joint Publications
1,078 Co-Co-Authors
all top 5

Serials

8 Mathematische Zeitschrift
8 Oberwolfach Reports
4 Mathematische Annalen
4 Geometric and Functional Analysis. GAFA
3 Communications on Pure and Applied Mathematics
3 Commentarii Mathematici Helvetici
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Ergodic Theory and Dynamical Systems
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Notices of the American Mathematical Society
2 Geometry & Topology
2 Annals of Mathematics. Second Series
2 Progress in Mathematics
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Delft Progress Report
1 Differential and Integral Equations
1 The Journal of Geometric Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bollettino della Unione Matemàtica Italiana. Serie VI. B
1 Topological Methods in Nonlinear Analysis
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 Journal of the European Mathematical Society (JEMS)
1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
1 Journal of Fixed Point Theory and Applications
1 Nonlinear Analysis. Theory, Methods & Applications
1 Modern Birkhäuser Classics
1 Birkhäuser Advanced Texts. Basler Lehrbücher

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 2,915 times in 1,436 Documents Cited by Year
Introduction to Symplectic Field Theory. Special volume of the journal Geometric and Functional Analysis. Zbl 0989.81114
Eliashberg, Y.; Givental, A.; Hofer, H.
195
2000
Compactness results in symplectic field theory. Zbl 1131.53312
Bourgeois, F.; Eliashberg, Y.; Hofer, H.; Wysocki, K.; Zehnder, E.
150
2003
Symplectic invariants and Hamiltonian dynamics. Zbl 0805.58003
Hofer, Helmut; Zehnder, Eduard
146
1994
Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three. Zbl 0797.58023
Hofer, H.
136
1993
The dynamics on three-dimensional strictly convex energy surfaces. Zbl 0944.37031
Hofer, H.; Wysocki, K.; Zehnder, E.
107
1998
Variational and topological methods in partially ordered Hilbert spaces. Zbl 0488.47034
Hofer, Helmut
103
1982
Transversality in elliptic Morse theory for the symplectic action. Zbl 0846.58025
Floer, Andreas; Hofer, Helmut; Salamon, Dietmar
94
1995
On the topological properties of symplectic maps. Zbl 0713.58004
Hofer, H.
94
1990
Floer homology and Novikov rings. Zbl 0842.58029
Hofer, H.; Salamon, D. A.
86
1995
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems. Zbl 0702.34039
Hofer, H.; Wysocki, K.
82
1991
Symplectic invariants and Hamiltonian dynamics. Zbl 0837.58013
Hofer, H.; Zehnder, E.
78
1995
Symplectic topology and Hamiltonian dynamics. Zbl 0641.53035
Ekeland, I.; Hofer, H.
74
1989
Convex Hamiltonian energy surfaces and their periodic trajectories. Zbl 0641.58038
Ekeland, I.; Hofer, H.
69
1987
Finite energy foliations of tight three-spheres and Hamiltonian dynamics. Zbl 1215.53076
Hofer, H.; Wysocki, K.; Zehnder, E.
67
2003
Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems. Zbl 0594.58035
Ekeland, I.; Hofer, H.
65
1985
Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics. Zbl 0861.58018
Hofer, H.; Wysocki, K.; Zehnder, E.
59
1996
A geometric description of the neighbourhood of a critical point given by the mountain-pass theorem. Zbl 0573.58007
Hofer, Helmut
56
1985
Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027
Hofer, H.; Wysocki, K.; Zehnder, E.
55
1995
Coherent orientations for periodic orbit problems in symplectic geometry. Zbl 0789.58022
Floer, A.; Hofer, H.
54
1993
Symplectic homology. I: Open sets in \(\mathbb{C}^ n\). Zbl 0810.58013
Floer, A.; Hofer, H.
53
1994
On genericity for holomorphic curves in four-dimensional almost-complex manifolds. Zbl 0911.53014
Hofer, Helmut; Lizan, Véronique; Sikorav, Jean-Claude
50
1997
A note on the topological degree at a critical point of mountainpass- type. Zbl 0545.58015
Hofer, Helmut
49
1984
Periodic solutions on hypersurfaces and a result by C. Viterbo. Zbl 0631.58022
Hofer, H.; Zehnder, E.
46
1987
Symplectic topology and Hamiltonian dynamics. II. Zbl 0729.53039
Ekeland, Ivar; Hofer, Helmut
45
1990
Symplectic homology. II: A general construction. Zbl 0869.58011
Cieliebak, K.; Floer, A.; Hofer, H.
41
1995
Quantitative symplectic geometry. Zbl 1143.53341
Cieliebak, Kai; Hofer, Helmut; Latschev, Janko; Schlenk, Felix
37
2007
Properties of pseudoholomorphic curves in symplectizations. III: Fredholm theory. Zbl 0924.58003
Hofer, H.; Wysocki, K.; Zehnder, E.
35
1999
Applications of symplectic homology. II: Stability of the action spectrum. Zbl 0869.58013
Cieliebak, K.; Floer, A.; Hofer, H.; Wysocki, K.
34
1996
The Weinstein conjecture in the presence of holomorphic spheres. Zbl 0773.58021
Hofer, H.; Viterbo, C.
34
1992
Applications of symplectic homology. I. Zbl 0869.58012
Floer, A.; Hofer, H.; Wysocki, K.
31
1994
Subharmonics for convex nonautonomous Hamiltonian systems. Zbl 0601.58035
Ekeland, I.; Hofer, H.
30
1987
The Weinstein conjecture in cotangent bundles and related results. Zbl 0697.58044
Hofer, H.; Viterbo, C.
30
1988
Lusternik-Schnirelman-theory for Lagrangian intersections. Zbl 0669.58006
Hofer, H.
29
1988
A general Fredholm theory. I: A splicing-based differential geometry. Zbl 1149.53053
Hofer, H.; Wysocki, K.; Zehnder, E.
29
2007
A general Fredholm theory. II: Implicit function theorems. Zbl 1217.58005
Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard
27
2009
Estimates for the energy of a symplectic map. Zbl 0787.58017
Hofer, H.
24
1993
A general Fredholm theory. III: Fredholm functors and polyfolds. Zbl 1185.58002
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard
23
2009
A new capacity for symplectic manifolds. Zbl 0702.58021
Hofer, H.; Zehnder, E.
23
1990
The Weinstein conjecture for planar contact structures in dimension three. Zbl 1098.53063
Abbas, Casim; Cieliebak, Kai; Hofer, Helmut
22
2005
A characterisation of the tight three-sphere. Zbl 0861.57026
Hofer, H.; Wysocki, K.; Zehnder, E.
21
1995
The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\). Zbl 0666.58019
Floer, A.; Hofer, H.; Viterbo, C.
21
1990
Lagrangian embeddings and critical point theory. Zbl 0591.58009
Hofer, Helmut
21
1985
Lagrangian intersections in contact geometry. Zbl 0844.58038
Eliashberg, Y.; Hofer, H.; Salamon, D.
20
1995
First steps towards a symplectic dynamics. Zbl 1382.53023
Bramham, B.; Hofer, H.
20
2012
Integration theory on the zero sets of polyfold Fredholm sections. Zbl 1210.58004
Hofer, H.; Wysocki, K.; Zehnder, E.
19
2010
Properties of pseudoholomorphic curves in symplectisation. IV: Asymptotics with degeneracies. Zbl 0868.53043
Hofer, H.; Wysocki, K.; Zehnder, E.
19
1996
Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems. Zbl 0569.70017
Hofer, Helmut; Toland, John
19
1984
Global surfaces of section in the planar restricted 3-body problem. Zbl 1287.70006
Albers, Peter; Fish, Joel W.; Frauenfelder, Urs; Hofer, Helmut; van Koert, Otto
19
2012
Sc-smoothness, retractions and new models for smooth spaces. Zbl 1211.53099
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard
18
2010
On strongly indefinite functionals with applications. Zbl 0524.58010
Hofer, Helmut
18
1983
Symplectic invariants and Hamiltonian dynamics. Reprint of the 1994 original. Zbl 1223.37001
Hofer, Helmut; Zehnder, Eduard
17
2011
Applications of polyfold theory. I: The polyfolds of Gromov-Witten theory. Zbl 1434.53095
Hofer, H.; Wysocki, K.; Zehnder, E.
16
2017
A characterization of the tight 3-sphere. II. Zbl 0954.57004
Hofer, H.; Wysocki, K.; Zehnder, E.
14
1999
On the range of a wave operator with nonmonotone nonlinearity. Zbl 0505.35058
Hofer, Helmut
14
1982
Holomorphic curves in contact dynamics. Zbl 0931.37026
Hofer, Helmut; Kriener, Markus
13
1999
On the Weinstein conjecture in higher dimensions. Zbl 1166.53052
Albers, Peter; Hofer, Helmut
13
2009
A Hamiltonian characterization of the three-ball. Zbl 0803.58045
Eliashberg, Y.; Hofer, H.
12
1994
Holomorphic curves and dynamics in dimension three. Zbl 1004.53062
Hofer, Helmut
11
1999
A general Fredholm theory and applications. Zbl 1185.58001
Hofer, H.
11
2006
Unknotted periodic orbits for Reeb flows on the three-sphere. Zbl 0898.58018
Hofer, H.; Wysocki, K.; Zehnder, E.
10
1996
Finite energy cylinders of small area. Zbl 1041.57009
Hofer, H.; Wysocki, K.; Zehnder, E.
10
2002
Two symplectic fixed-point theorems with applications to Hamiltonian dynamics. Zbl 0709.58017
Ekeland, I.; Hofer, H.
9
1989
The topological degree at a critical point of mountain-pass type. Zbl 0608.58013
Hofer, Helmut
8
1986
A new proof for a result of Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories on a prescribed energy surface. Zbl 0541.70032
Hofer, Helmut
8
1982
Dynamics, topology and holomorphic curves. Zbl 0908.58020
Hofer, Helmut H. W.
7
1998
Holomorphic curves and real three-dimensional dynamics. Special volume of the journal Geometric and Functional Analysis. Zbl 1161.53362
Hofer, H.
6
2000
Unseen symplectic boundaries. Zbl 0870.53020
Eliashberg, Yakov; Hofer, Helmut
6
1996
The Floer memorial volume. Zbl 0824.00019
6
1995
A remark on a priori bounds and existence for periodic solutions of Hamiltonian systems. Zbl 0656.34033
Benci, Vieri; Hofer, Helmut; Rabinowitz, Paul H.
5
1987
Symplectic invariants. Zbl 0747.53026
Hofer, Helmut
5
1991
A multiplicity result for a class of nonlinear problems with application to a nonlinear wave equation. Zbl 0451.35043
Hofer, Helmut
4
1981
Correction to “A characterisation of the tight three-sphere”. Zbl 0903.57009
Hofer, H.; Wysocki, K.; Zehnder, E.
4
1997
Towards the definition of symplectic boundary. Zbl 0756.53016
Eliashberg, Y.; Hofer, H.
4
1992
Free oscillations of prescribed energy at a saddle point of the potential in Hamiltonian dynamics. Zbl 0592.70020
Hofer, Helmut; Toland, John
4
1985
Holomorphic curves and global questions in contact geometry. Zbl 1431.53001
Abbas, Casim; Hofer, Helmut
4
2019
Polyfold and Fredholm theory. Zbl 1479.58002
Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard
3
2021
Existence and multiplicity result for a class of second order elliptic equations. Zbl 0468.35042
Hofer, Helmut
3
1981
An energy-capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity. Zbl 0807.58014
Eliashberg, Y.; Hofer, H.
2
1993
Pseudoholomorphic curves and dynamics in three dimensions. Zbl 1052.53063
Hofer, H.; Wysocki, K.; Zehnder, E.
2
2002
Polyfolds and Fredholm theory. Zbl 1376.53002
Hofer, Helmut H. W.
2
2017
Recent progress in symplectic geometry. Zbl 0687.53033
Hofer, H.
2
1990
Symplectic capacities. Zbl 0729.58026
Hofer, H.
2
1990
A strong form of the mountain pass theorem and application. Zbl 0678.58011
Hofer, H.
1
1988
Polyfold and Fredholm theory. Zbl 1479.58002
Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard
3
2021
Holomorphic curves and global questions in contact geometry. Zbl 1431.53001
Abbas, Casim; Hofer, Helmut
4
2019
Applications of polyfold theory. I: The polyfolds of Gromov-Witten theory. Zbl 1434.53095
Hofer, H.; Wysocki, K.; Zehnder, E.
16
2017
Polyfolds and Fredholm theory. Zbl 1376.53002
Hofer, Helmut H. W.
2
2017
First steps towards a symplectic dynamics. Zbl 1382.53023
Bramham, B.; Hofer, H.
20
2012
Global surfaces of section in the planar restricted 3-body problem. Zbl 1287.70006
Albers, Peter; Fish, Joel W.; Frauenfelder, Urs; Hofer, Helmut; van Koert, Otto
19
2012
Symplectic invariants and Hamiltonian dynamics. Reprint of the 1994 original. Zbl 1223.37001
Hofer, Helmut; Zehnder, Eduard
17
2011
Integration theory on the zero sets of polyfold Fredholm sections. Zbl 1210.58004
Hofer, H.; Wysocki, K.; Zehnder, E.
19
2010
Sc-smoothness, retractions and new models for smooth spaces. Zbl 1211.53099
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard
18
2010
A general Fredholm theory. II: Implicit function theorems. Zbl 1217.58005
Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard
27
2009
A general Fredholm theory. III: Fredholm functors and polyfolds. Zbl 1185.58002
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard
23
2009
On the Weinstein conjecture in higher dimensions. Zbl 1166.53052
Albers, Peter; Hofer, Helmut
13
2009
Quantitative symplectic geometry. Zbl 1143.53341
Cieliebak, Kai; Hofer, Helmut; Latschev, Janko; Schlenk, Felix
37
2007
A general Fredholm theory. I: A splicing-based differential geometry. Zbl 1149.53053
Hofer, H.; Wysocki, K.; Zehnder, E.
29
2007
A general Fredholm theory and applications. Zbl 1185.58001
Hofer, H.
11
2006
The Weinstein conjecture for planar contact structures in dimension three. Zbl 1098.53063
Abbas, Casim; Cieliebak, Kai; Hofer, Helmut
22
2005
Compactness results in symplectic field theory. Zbl 1131.53312
Bourgeois, F.; Eliashberg, Y.; Hofer, H.; Wysocki, K.; Zehnder, E.
150
2003
Finite energy foliations of tight three-spheres and Hamiltonian dynamics. Zbl 1215.53076
Hofer, H.; Wysocki, K.; Zehnder, E.
67
2003
Finite energy cylinders of small area. Zbl 1041.57009
Hofer, H.; Wysocki, K.; Zehnder, E.
10
2002
Pseudoholomorphic curves and dynamics in three dimensions. Zbl 1052.53063
Hofer, H.; Wysocki, K.; Zehnder, E.
2
2002
Introduction to Symplectic Field Theory. Special volume of the journal Geometric and Functional Analysis. Zbl 0989.81114
Eliashberg, Y.; Givental, A.; Hofer, H.
195
2000
Holomorphic curves and real three-dimensional dynamics. Special volume of the journal Geometric and Functional Analysis. Zbl 1161.53362
Hofer, H.
6
2000
Properties of pseudoholomorphic curves in symplectizations. III: Fredholm theory. Zbl 0924.58003
Hofer, H.; Wysocki, K.; Zehnder, E.
35
1999
A characterization of the tight 3-sphere. II. Zbl 0954.57004
Hofer, H.; Wysocki, K.; Zehnder, E.
14
1999
Holomorphic curves in contact dynamics. Zbl 0931.37026
Hofer, Helmut; Kriener, Markus
13
1999
Holomorphic curves and dynamics in dimension three. Zbl 1004.53062
Hofer, Helmut
11
1999
The dynamics on three-dimensional strictly convex energy surfaces. Zbl 0944.37031
Hofer, H.; Wysocki, K.; Zehnder, E.
107
1998
Dynamics, topology and holomorphic curves. Zbl 0908.58020
Hofer, Helmut H. W.
7
1998
On genericity for holomorphic curves in four-dimensional almost-complex manifolds. Zbl 0911.53014
Hofer, Helmut; Lizan, Véronique; Sikorav, Jean-Claude
50
1997
Correction to “A characterisation of the tight three-sphere”. Zbl 0903.57009
Hofer, H.; Wysocki, K.; Zehnder, E.
4
1997
Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics. Zbl 0861.58018
Hofer, H.; Wysocki, K.; Zehnder, E.
59
1996
Applications of symplectic homology. II: Stability of the action spectrum. Zbl 0869.58013
Cieliebak, K.; Floer, A.; Hofer, H.; Wysocki, K.
34
1996
Properties of pseudoholomorphic curves in symplectisation. IV: Asymptotics with degeneracies. Zbl 0868.53043
Hofer, H.; Wysocki, K.; Zehnder, E.
19
1996
Unknotted periodic orbits for Reeb flows on the three-sphere. Zbl 0898.58018
Hofer, H.; Wysocki, K.; Zehnder, E.
10
1996
Unseen symplectic boundaries. Zbl 0870.53020
Eliashberg, Yakov; Hofer, Helmut
6
1996
Transversality in elliptic Morse theory for the symplectic action. Zbl 0846.58025
Floer, Andreas; Hofer, Helmut; Salamon, Dietmar
94
1995
Floer homology and Novikov rings. Zbl 0842.58029
Hofer, H.; Salamon, D. A.
86
1995
Symplectic invariants and Hamiltonian dynamics. Zbl 0837.58013
Hofer, H.; Zehnder, E.
78
1995
Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027
Hofer, H.; Wysocki, K.; Zehnder, E.
55
1995
Symplectic homology. II: A general construction. Zbl 0869.58011
Cieliebak, K.; Floer, A.; Hofer, H.
41
1995
A characterisation of the tight three-sphere. Zbl 0861.57026
Hofer, H.; Wysocki, K.; Zehnder, E.
21
1995
Lagrangian intersections in contact geometry. Zbl 0844.58038
Eliashberg, Y.; Hofer, H.; Salamon, D.
20
1995
The Floer memorial volume. Zbl 0824.00019
6
1995
Symplectic invariants and Hamiltonian dynamics. Zbl 0805.58003
Hofer, Helmut; Zehnder, Eduard
146
1994
Symplectic homology. I: Open sets in \(\mathbb{C}^ n\). Zbl 0810.58013
Floer, A.; Hofer, H.
53
1994
Applications of symplectic homology. I. Zbl 0869.58012
Floer, A.; Hofer, H.; Wysocki, K.
31
1994
A Hamiltonian characterization of the three-ball. Zbl 0803.58045
Eliashberg, Y.; Hofer, H.
12
1994
Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three. Zbl 0797.58023
Hofer, H.
136
1993
Coherent orientations for periodic orbit problems in symplectic geometry. Zbl 0789.58022
Floer, A.; Hofer, H.
54
1993
Estimates for the energy of a symplectic map. Zbl 0787.58017
Hofer, H.
24
1993
An energy-capacity inequality for the symplectic holonomy of hypersurfaces flat at infinity. Zbl 0807.58014
Eliashberg, Y.; Hofer, H.
2
1993
The Weinstein conjecture in the presence of holomorphic spheres. Zbl 0773.58021
Hofer, H.; Viterbo, C.
34
1992
Towards the definition of symplectic boundary. Zbl 0756.53016
Eliashberg, Y.; Hofer, H.
4
1992
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems. Zbl 0702.34039
Hofer, H.; Wysocki, K.
82
1991
Symplectic invariants. Zbl 0747.53026
Hofer, Helmut
5
1991
On the topological properties of symplectic maps. Zbl 0713.58004
Hofer, H.
94
1990
Symplectic topology and Hamiltonian dynamics. II. Zbl 0729.53039
Ekeland, Ivar; Hofer, Helmut
45
1990
A new capacity for symplectic manifolds. Zbl 0702.58021
Hofer, H.; Zehnder, E.
23
1990
The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\). Zbl 0666.58019
Floer, A.; Hofer, H.; Viterbo, C.
21
1990
Recent progress in symplectic geometry. Zbl 0687.53033
Hofer, H.
2
1990
Symplectic capacities. Zbl 0729.58026
Hofer, H.
2
1990
Symplectic topology and Hamiltonian dynamics. Zbl 0641.53035
Ekeland, I.; Hofer, H.
74
1989
Two symplectic fixed-point theorems with applications to Hamiltonian dynamics. Zbl 0709.58017
Ekeland, I.; Hofer, H.
9
1989
The Weinstein conjecture in cotangent bundles and related results. Zbl 0697.58044
Hofer, H.; Viterbo, C.
30
1988
Lusternik-Schnirelman-theory for Lagrangian intersections. Zbl 0669.58006
Hofer, H.
29
1988
A strong form of the mountain pass theorem and application. Zbl 0678.58011
Hofer, H.
1
1988
Convex Hamiltonian energy surfaces and their periodic trajectories. Zbl 0641.58038
Ekeland, I.; Hofer, H.
69
1987
Periodic solutions on hypersurfaces and a result by C. Viterbo. Zbl 0631.58022
Hofer, H.; Zehnder, E.
46
1987
Subharmonics for convex nonautonomous Hamiltonian systems. Zbl 0601.58035
Ekeland, I.; Hofer, H.
30
1987
A remark on a priori bounds and existence for periodic solutions of Hamiltonian systems. Zbl 0656.34033
Benci, Vieri; Hofer, Helmut; Rabinowitz, Paul H.
5
1987
The topological degree at a critical point of mountain-pass type. Zbl 0608.58013
Hofer, Helmut
8
1986
Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems. Zbl 0594.58035
Ekeland, I.; Hofer, H.
65
1985
A geometric description of the neighbourhood of a critical point given by the mountain-pass theorem. Zbl 0573.58007
Hofer, Helmut
56
1985
Lagrangian embeddings and critical point theory. Zbl 0591.58009
Hofer, Helmut
21
1985
Free oscillations of prescribed energy at a saddle point of the potential in Hamiltonian dynamics. Zbl 0592.70020
Hofer, Helmut; Toland, John
4
1985
A note on the topological degree at a critical point of mountainpass- type. Zbl 0545.58015
Hofer, Helmut
49
1984
Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems. Zbl 0569.70017
Hofer, Helmut; Toland, John
19
1984
On strongly indefinite functionals with applications. Zbl 0524.58010
Hofer, Helmut
18
1983
Variational and topological methods in partially ordered Hilbert spaces. Zbl 0488.47034
Hofer, Helmut
103
1982
On the range of a wave operator with nonmonotone nonlinearity. Zbl 0505.35058
Hofer, Helmut
14
1982
A new proof for a result of Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories on a prescribed energy surface. Zbl 0541.70032
Hofer, Helmut
8
1982
A multiplicity result for a class of nonlinear problems with application to a nonlinear wave equation. Zbl 0451.35043
Hofer, Helmut
4
1981
Existence and multiplicity result for a class of second order elliptic equations. Zbl 0468.35042
Hofer, Helmut
3
1981
all top 5

Cited by 1,064 Authors

34 Hofer, Helmut H. W.
32 Long, Yiming
25 Ginzburg, Viktor L’vovich
24 Albers, Peter
23 Frauenfelder, Urs Adrian
21 Liu, Chungen
17 de Gosson, Maurice Alexis
17 Gürel, Basak Zehra
17 Polterovich, Leonid Viktorovich
17 Zehmisch, Kai
16 Cieliebak, Kai
15 Abbondandolo, Alberto
15 Ekholm, Tobias
15 McDuff, Dusa
14 Dancer, Edward Norman
14 Eliashberg, Yakov Matveevich
14 Macarini, Leonardo
14 Zhang, Duanzhi
13 Etnyre, John B.
13 Hryniewicz, Umberto L.
13 Salomão, Pedro Antonio Santoro
13 Schlenk, Felix
13 Wang, Wei
13 Wysocki, Krzysztof
12 Bourgeois, Frédéric
12 Séré, Eric
12 Wendl, Chris
11 Dimitroglou Rizell, Georgios
11 Hind, Richard K.
11 Kang, Jungsoo
11 Liu, Hui
11 Seidel, Paul
11 Taubes, Clifford Henry
10 Duan, Huagui
10 Hutchings, Michael Lounsbery
10 Lalonde, François
10 Ono, Kaoru
10 Viterbo, Claude
10 Zehnder, Eduard J.
9 Colin, Vincent
9 Floer, Andreas
9 Geiges, Hansjörg
9 Honda, Ko
9 Li, Shujie
9 McKenna, Patrick Joseph
9 Oancea, Alexandru
9 Oh, Yong-Geun
9 Smith, Ivan
9 Tanaka, Kazunaga
9 Traynor, Lisa
9 Wehrheim, Katrin
8 Ding, Yanheng
8 Ekeland, Ivar
8 Merry, Will J.
8 Paternain, Gabriel Pedro
8 Sabloff, Joshua M.
8 Toland, John Francis
8 van Koert, Otto
8 Woodward, Christopher T.
7 Abouzaid, Mohammed
7 Banyaga, Augustin
7 Buhovsky, Lev
7 Fukaya, Kenji
7 Girardi, Mario
7 Irie, Kei
7 Lu, Guangcun
7 McLean, Mark
7 Montecchiari, Piero
7 Shi, Haiping
7 Sukhov, Alexandre B.
7 Sullivan, Michael G.
7 Usher, Michael
7 Wang, Zhi-Qiang
7 Yan, Shusen
6 Benci, Vieri
6 Biran, Paul
6 Castro, Alfonso
6 Ghiggini, Paolo
6 Kerman, Ely
6 Kwon, Myeonggi
6 Lazer, Alan C.
6 Ostrover, Yaron
6 Pandharipande, Rahul
6 Pelayo, Alvaro
6 Rossi, Paolo
6 Seyfaddini, Sobhan
6 Solimini, Sergio
6 Solomon, Jake P.
6 Tarantello, Gabriella
6 Tian, Gang
6 Zhang, Fubao
6 Zhang, Xiaofei
5 Alves, Marcelo R. R.
5 An, Tianqing
5 Benedetti, Gabriele
5 Bramham, Barney
5 Casals, Roger
5 Felmer, Patricio L.
5 Gaussier, Hervé
5 Hu, Xijun
...and 964 more Authors
all top 5

Cited in 221 Serials

69 Geometry & Topology
54 Journal of Differential Equations
52 Journal of Fixed Point Theory and Applications
44 Journal of Mathematical Analysis and Applications
43 Duke Mathematical Journal
43 Mathematische Zeitschrift
38 Inventiones Mathematicae
37 Advances in Mathematics
35 Nonlinear Analysis. Theory, Methods & Applications
34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 Transactions of the American Mathematical Society
32 Calculus of Variations and Partial Differential Equations
30 Journal of Topology and Analysis
28 Algebraic & Geometric Topology
27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
25 Geometric and Functional Analysis. GAFA
23 Mathematische Annalen
21 Communications in Mathematical Physics
21 International Journal of Mathematics
20 Communications in Contemporary Mathematics
18 Journal of Functional Analysis
18 Selecta Mathematica. New Series
16 Journal of Geometry and Physics
16 Discrete and Continuous Dynamical Systems
14 Israel Journal of Mathematics
14 Ergodic Theory and Dynamical Systems
13 Journal of Mathematical Physics
13 Proceedings of the American Mathematical Society
13 Journal of the European Mathematical Society (JEMS)
12 Compositio Mathematica
12 Journal of the American Mathematical Society
11 Differential Geometry and its Applications
11 Bulletin of the American Mathematical Society. New Series
10 Communications on Pure and Applied Mathematics
10 Manuscripta Mathematica
10 NoDEA. Nonlinear Differential Equations and Applications
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Annales de l’Institut Fourier
9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
9 Acta Mathematica Sinica. English Series
9 Science China. Mathematics
8 Commentarii Mathematici Helvetici
8 Geometriae Dedicata
8 Memoirs of the American Mathematical Society
8 Annals of Global Analysis and Geometry
8 The Journal of Geometric Analysis
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Frontiers of Mathematics in China
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Topology and its Applications
7 Journal of Dynamics and Differential Equations
7 Qualitative Theory of Dynamical Systems
7 Journal of Modern Dynamics
7 Journal of Topology
6 Archive for Rational Mechanics and Analysis
6 Letters in Mathematical Physics
6 Archiv der Mathematik
6 Communications in Partial Differential Equations
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Abstract and Applied Analysis
6 Annals of Mathematics. Second Series
6 Advanced Nonlinear Studies
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Publications Mathématiques
5 Rendiconti del Seminario Matematico della Università di Padova
5 Chinese Annals of Mathematics. Series B
5 Physica D
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Communications on Pure and Applied Analysis
4 Applicable Analysis
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Journal of Computational and Applied Mathematics
4 Proceedings of the London Mathematical Society. Third Series
4 Applied Mathematics Letters
4 Linear Algebra and its Applications
4 Expositiones Mathematicae
4 Indagationes Mathematicae. New Series
4 Journal of Mathematical Sciences (New York)
4 Quantum Topology
4 Kyoto Journal of Mathematics
4 Arabian Journal of Mathematics
3 Physica A
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Acta Mathematica
3 Bulletin de la Société Mathématique de France
3 Journal of the London Mathematical Society. Second Series
3 Michigan Mathematical Journal
3 Results in Mathematics
3 Mémoires de la Société Mathématique de France. Nouvelle Série
3 Regular and Chaotic Dynamics
3 Annales Henri Poincaré
3 Nonlinear Analysis. Real World Applications
3 Dynamical Systems
3 Foundations of Physics
3 Boundary Value Problems
3 Proceedings of the Steklov Institute of Mathematics
3 Annales Mathématiques du Québec
3 Arnold Mathematical Journal
3 Journal de l’École Polytechnique – Mathématiques
3 Korean Journal of Mathematics
...and 121 more Serials
all top 5

Cited in 52 Fields

759 Differential geometry (53-XX)
529 Dynamical systems and ergodic theory (37-XX)
301 Manifolds and cell complexes (57-XX)
286 Global analysis, analysis on manifolds (58-XX)
243 Partial differential equations (35-XX)
185 Ordinary differential equations (34-XX)
104 Mechanics of particles and systems (70-XX)
90 Algebraic geometry (14-XX)
83 Several complex variables and analytic spaces (32-XX)
75 Operator theory (47-XX)
50 Quantum theory (81-XX)
41 Algebraic topology (55-XX)
35 Calculus of variations and optimal control; optimization (49-XX)
28 Convex and discrete geometry (52-XX)
14 Fluid mechanics (76-XX)
13 Difference and functional equations (39-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Topological groups, Lie groups (22-XX)
10 Functional analysis (46-XX)
9 Category theory; homological algebra (18-XX)
8 General topology (54-XX)
7 Group theory and generalizations (20-XX)
6 Numerical analysis (65-XX)
6 Mechanics of deformable solids (74-XX)
5 Probability theory and stochastic processes (60-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 Relativity and gravitational theory (83-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Functions of a complex variable (30-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Biology and other natural sciences (92-XX)
3 Associative rings and algebras (16-XX)
3 Real functions (26-XX)
3 Potential theory (31-XX)
2 Number theory (11-XX)
2 Nonassociative rings and algebras (17-XX)
2 Measure and integration (28-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Optics, electromagnetic theory (78-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

Citations by Year

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