×

zbMATH — the first resource for mathematics

Hofer, Helmut H. W.

Compute Distance To:
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 · Wikidata · ORCID · GND
Documents Indexed: 101 Publications since 1981, including 6 Books
Biographic References: 1 Publication
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 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 Ergodic Theory and Dynamical Systems
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 Nonlinear Analysis. Theory, Methods & Applications
1 Modern Birkhäuser Classics
1 Birkhäuser Advanced Texts. Basler Lehrbücher

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 2,636 times in 1,309 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.
179
2000
Symplectic invariants and Hamiltonian dynamics. Zbl 0805.58003
Hofer, Helmut; Zehnder, Eduard
139
1994
Compactness results in symplectic field theory. Zbl 1131.53312
Bourgeois, F.; Eliashberg, Y.; Hofer, H.; Wysocki, K.; Zehnder, E.
136
2003
Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three. Zbl 0797.58023
Hofer, H.
123
1993
Variational and topological methods in partially ordered Hilbert spaces. Zbl 0488.47034
Hofer, Helmut
100
1982
The dynamics on three-dimensional strictly convex energy surfaces. Zbl 0944.37031
Hofer, H.; Wysocki, K.; Zehnder, E.
94
1998
Transversality in elliptic Morse theory for the symplectic action. Zbl 0846.58025
Floer, Andreas; Hofer, Helmut; Salamon, Dietmar
92
1995
On the topological properties of symplectic maps. Zbl 0713.58004
Hofer, H.
89
1990
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems. Zbl 0702.34039
Hofer, H.; Wysocki, K.
80
1991
Floer homology and Novikov rings. Zbl 0842.58029
Hofer, H.; Salamon, D. A.
80
1995
Symplectic invariants and Hamiltonian dynamics. Zbl 0837.58013
Hofer, H.; Zehnder, E.
66
1995
Convex Hamiltonian energy surfaces and their periodic trajectories. Zbl 0641.58038
Ekeland, I.; Hofer, H.
65
1987
Symplectic topology and Hamiltonian dynamics. Zbl 0641.53035
Ekeland, I.; Hofer, H.
61
1989
Finite energy foliations of tight three-spheres and Hamiltonian dynamics. Zbl 1215.53076
Hofer, H.; Wysocki, K.; Zehnder, E.
60
2003
Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems. Zbl 0594.58035
Ekeland, I.; Hofer, H.
54
1985
Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics. Zbl 0861.58018
Hofer, H.; Wysocki, K.; Zehnder, E.
54
1996
Coherent orientations for periodic orbit problems in symplectic geometry. Zbl 0789.58022
Floer, A.; Hofer, H.
52
1993
A geometric description of the neighbourhood of a critical point given by the mountain-pass theorem. Zbl 0573.58007
Hofer, Helmut
52
1985
Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027
Hofer, H.; Wysocki, K.; Zehnder, E.
51
1995
A note on the topological degree at a critical point of mountainpass- type. Zbl 0545.58015
Hofer, Helmut
48
1984
Symplectic homology. I: Open sets in \(\mathbb{C}^ n\). Zbl 0810.58013
Floer, A.; Hofer, H.
47
1994
On genericity for holomorphic curves in four-dimensional almost-complex manifolds. Zbl 0911.53014
Hofer, Helmut; Lizan, Véronique; Sikorav, Jean-Claude
45
1997
Periodic solutions on hypersurfaces and a result by C. Viterbo. Zbl 0631.58022
Hofer, H.; Zehnder, E.
41
1987
Symplectic homology. II: A general construction. Zbl 0869.58011
Cieliebak, K.; Floer, A.; Hofer, H.
38
1995
Symplectic topology and Hamiltonian dynamics. II. Zbl 0729.53039
Ekeland, Ivar; Hofer, Helmut
36
1990
Properties of pseudoholomorphic curves in symplectizations. III: Fredholm theory. Zbl 0924.58003
Hofer, H.; Wysocki, K.; Zehnder, E.
32
1999
The Weinstein conjecture in the presence of holomorphic spheres. Zbl 0773.58021
Hofer, H.; Viterbo, C.
30
1992
Applications of symplectic homology. II: Stability of the action spectrum. Zbl 0869.58013
Cieliebak, K.; Floer, A.; Hofer, H.; Wysocki, K.
29
1996
Subharmonics for convex nonautonomous Hamiltonian systems. Zbl 0601.58035
Ekeland, I.; Hofer, H.
29
1987
Lusternik-Schnirelman-theory for Lagrangian intersections. Zbl 0669.58006
Hofer, H.
28
1988
A general Fredholm theory. I: A splicing-based differential geometry. Zbl 1149.53053
Hofer, H.; Wysocki, K.; Zehnder, E.
27
2007
Applications of symplectic homology. I. Zbl 0869.58012
Floer, A.; Hofer, H.; Wysocki, K.
27
1994
The Weinstein conjecture in cotangent bundles and related results. Zbl 0697.58044
Hofer, H.; Viterbo, C.
27
1988
A general Fredholm theory. II: Implicit function theorems. Zbl 1217.58005
Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard
24
2009
Quantitative symplectic geometry. Zbl 1143.53341
Cieliebak, Kai; Hofer, Helmut; Latschev, Janko; Schlenk, Felix
24
2007
Estimates for the energy of a symplectic map. Zbl 0787.58017
Hofer, H.
23
1993
The Weinstein conjecture for planar contact structures in dimension three. Zbl 1098.53063
Abbas, Casim; Cieliebak, Kai; Hofer, Helmut
22
2005
A general Fredholm theory. III: Fredholm functors and polyfolds. Zbl 1185.58002
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard
21
2009
A new capacity for symplectic manifolds. Zbl 0702.58021
Hofer, H.; Zehnder, E.
20
1990
Properties of pseudoholomorphic curves in symplectisation. IV: Asymptotics with degeneracies. Zbl 0868.53043
Hofer, H.; Wysocki, K.; Zehnder, E.
19
1996
Lagrangian embeddings and critical point theory. Zbl 0591.58009
Hofer, Helmut
19
1985
The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\). Zbl 0666.58019
Floer, A.; Hofer, H.; Viterbo, C.
19
1990
Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems. Zbl 0569.70017
Hofer, Helmut; Toland, John
19
1984
A characterisation of the tight three-sphere. Zbl 0861.57026
Hofer, H.; Wysocki, K.; Zehnder, E.
19
1995
Lagrangian intersections in contact geometry. Zbl 0844.58038
Eliashberg, Y.; Hofer, H.; Salamon, D.
18
1995
First steps towards a symplectic dynamics. Zbl 1382.53023
Bramham, B.; Hofer, H.
17
2012
Integration theory on the zero sets of polyfold Fredholm sections. Zbl 1210.58004
Hofer, H.; Wysocki, K.; Zehnder, E.
16
2010
Sc-smoothness, retractions and new models for smooth spaces. Zbl 1211.53099
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard
16
2010
On strongly indefinite functionals with applications. Zbl 0524.58010
Hofer, Helmut
15
1983
On the range of a wave operator with nonmonotone nonlinearity. Zbl 0505.35058
Hofer, Helmut
14
1982
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
13
2012
Holomorphic curves in contact dynamics. Zbl 0931.37026
Hofer, Helmut; Kriener, Markus
12
1999
A characterization of the tight 3-sphere. II. Zbl 0954.57004
Hofer, H.; Wysocki, K.; Zehnder, E.
11
1999
Symplectic invariants and Hamiltonian dynamics. Reprint of the 1994 original. Zbl 1223.37001
Hofer, Helmut; Zehnder, Eduard
11
2011
Applications of polyfold theory. I: The polyfolds of Gromov-Witten theory. Zbl 1434.53095
Hofer, H.; Wysocki, K.; Zehnder, E.
11
2017
A Hamiltonian characterization of the three-ball. Zbl 0803.58045
Eliashberg, Y.; Hofer, H.
10
1994
On the Weinstein conjecture in higher dimensions. Zbl 1166.53052
Albers, Peter; Hofer, Helmut
10
2009
Unknotted periodic orbits for Reeb flows on the three-sphere. Zbl 0898.58018
Hofer, H.; Wysocki, K.; Zehnder, E.
9
1996
Holomorphic curves and dynamics in dimension three. Zbl 1004.53062
Hofer, Helmut
9
1999
Finite energy cylinders of small area. Zbl 1041.57009
Hofer, H.; Wysocki, K.; Zehnder, E.
9
2002
Two symplectic fixed-point theorems with applications to Hamiltonian dynamics. Zbl 0709.58017
Ekeland, I.; Hofer, H.
9
1989
A general Fredholm theory and applications. Zbl 1185.58001
Hofer, H.
8
2006
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
The topological degree at a critical point of mountain-pass type. Zbl 0608.58013
Hofer, Helmut
8
1986
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
The Floer memorial volume. Zbl 0824.00019
Hofer, Helmut (ed.); Taubes, Clifford H. (ed.); Weinstein, Alan (ed.); Zehnder, Eduard (ed.)
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
Free oscillations of prescribed energy at a saddle point of the potential in Hamiltonian dynamics. Zbl 0592.70020
Hofer, Helmut; Toland, John
4
1985
Towards the definition of symplectic boundary. Zbl 0756.53016
Eliashberg, Y.; Hofer, H.
4
1992
Correction to “A characterisation of the tight three-sphere”. Zbl 0903.57009
Hofer, H.; Wysocki, K.; Zehnder, E.
3
1997
Existence and multiplicity result for a class of second order elliptic equations. Zbl 0468.35042
Hofer, Helmut
3
1981
Unseen symplectic boundaries. Zbl 0870.53020
Eliashberg, Yakov; Hofer, Helmut
3
1996
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
Symplectic capacities. Zbl 0729.58026
Hofer, H.
2
1990
Recent progress in symplectic geometry. Zbl 0687.53033
Hofer, H.
2
1990
Polyfolds and Fredholm theory. Zbl 1376.53002
Hofer, Helmut H. W.
2
2017
A strong form of the mountain pass theorem and application. Zbl 0678.58011
Hofer, H.
1
1988
Holomorphic curves and global questions in contact geometry. Zbl 1431.53001
Abbas, Casim; Hofer, Helmut
1
2019
Holomorphic curves and global questions in contact geometry. Zbl 1431.53001
Abbas, Casim; Hofer, Helmut
1
2019
Applications of polyfold theory. I: The polyfolds of Gromov-Witten theory. Zbl 1434.53095
Hofer, H.; Wysocki, K.; Zehnder, E.
11
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.
17
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
13
2012
Symplectic invariants and Hamiltonian dynamics. Reprint of the 1994 original. Zbl 1223.37001
Hofer, Helmut; Zehnder, Eduard
11
2011
Integration theory on the zero sets of polyfold Fredholm sections. Zbl 1210.58004
Hofer, H.; Wysocki, K.; Zehnder, E.
16
2010
Sc-smoothness, retractions and new models for smooth spaces. Zbl 1211.53099
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard
16
2010
A general Fredholm theory. II: Implicit function theorems. Zbl 1217.58005
Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard
24
2009
A general Fredholm theory. III: Fredholm functors and polyfolds. Zbl 1185.58002
Hofer, Helmut; Wysocki, Kris; Zehnder, Eduard
21
2009
On the Weinstein conjecture in higher dimensions. Zbl 1166.53052
Albers, Peter; Hofer, Helmut
10
2009
A general Fredholm theory. I: A splicing-based differential geometry. Zbl 1149.53053
Hofer, H.; Wysocki, K.; Zehnder, E.
27
2007
Quantitative symplectic geometry. Zbl 1143.53341
Cieliebak, Kai; Hofer, Helmut; Latschev, Janko; Schlenk, Felix
24
2007
A general Fredholm theory and applications. Zbl 1185.58001
Hofer, H.
8
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.
136
2003
Finite energy foliations of tight three-spheres and Hamiltonian dynamics. Zbl 1215.53076
Hofer, H.; Wysocki, K.; Zehnder, E.
60
2003
Finite energy cylinders of small area. Zbl 1041.57009
Hofer, H.; Wysocki, K.; Zehnder, E.
9
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.
179
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.
32
1999
Holomorphic curves in contact dynamics. Zbl 0931.37026
Hofer, Helmut; Kriener, Markus
12
1999
A characterization of the tight 3-sphere. II. Zbl 0954.57004
Hofer, H.; Wysocki, K.; Zehnder, E.
11
1999
Holomorphic curves and dynamics in dimension three. Zbl 1004.53062
Hofer, Helmut
9
1999
The dynamics on three-dimensional strictly convex energy surfaces. Zbl 0944.37031
Hofer, H.; Wysocki, K.; Zehnder, E.
94
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
45
1997
Correction to “A characterisation of the tight three-sphere”. Zbl 0903.57009
Hofer, H.; Wysocki, K.; Zehnder, E.
3
1997
Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics. Zbl 0861.58018
Hofer, H.; Wysocki, K.; Zehnder, E.
54
1996
Applications of symplectic homology. II: Stability of the action spectrum. Zbl 0869.58013
Cieliebak, K.; Floer, A.; Hofer, H.; Wysocki, K.
29
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.
9
1996
Unseen symplectic boundaries. Zbl 0870.53020
Eliashberg, Yakov; Hofer, Helmut
3
1996
Transversality in elliptic Morse theory for the symplectic action. Zbl 0846.58025
Floer, Andreas; Hofer, Helmut; Salamon, Dietmar
92
1995
Floer homology and Novikov rings. Zbl 0842.58029
Hofer, H.; Salamon, D. A.
80
1995
Symplectic invariants and Hamiltonian dynamics. Zbl 0837.58013
Hofer, H.; Zehnder, E.
66
1995
Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants. Zbl 0845.57027
Hofer, H.; Wysocki, K.; Zehnder, E.
51
1995
Symplectic homology. II: A general construction. Zbl 0869.58011
Cieliebak, K.; Floer, A.; Hofer, H.
38
1995
A characterisation of the tight three-sphere. Zbl 0861.57026
Hofer, H.; Wysocki, K.; Zehnder, E.
19
1995
Lagrangian intersections in contact geometry. Zbl 0844.58038
Eliashberg, Y.; Hofer, H.; Salamon, D.
18
1995
The Floer memorial volume. Zbl 0824.00019
Hofer, Helmut; Taubes, Clifford H.; Weinstein, Alan; Zehnder, Eduard
6
1995
Symplectic invariants and Hamiltonian dynamics. Zbl 0805.58003
Hofer, Helmut; Zehnder, Eduard
139
1994
Symplectic homology. I: Open sets in \(\mathbb{C}^ n\). Zbl 0810.58013
Floer, A.; Hofer, H.
47
1994
Applications of symplectic homology. I. Zbl 0869.58012
Floer, A.; Hofer, H.; Wysocki, K.
27
1994
A Hamiltonian characterization of the three-ball. Zbl 0803.58045
Eliashberg, Y.; Hofer, H.
10
1994
Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three. Zbl 0797.58023
Hofer, H.
123
1993
Coherent orientations for periodic orbit problems in symplectic geometry. Zbl 0789.58022
Floer, A.; Hofer, H.
52
1993
Estimates for the energy of a symplectic map. Zbl 0787.58017
Hofer, H.
23
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.
30
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.
80
1991
Symplectic invariants. Zbl 0747.53026
Hofer, Helmut
5
1991
On the topological properties of symplectic maps. Zbl 0713.58004
Hofer, H.
89
1990
Symplectic topology and Hamiltonian dynamics. II. Zbl 0729.53039
Ekeland, Ivar; Hofer, Helmut
36
1990
A new capacity for symplectic manifolds. Zbl 0702.58021
Hofer, H.; Zehnder, E.
20
1990
The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\). Zbl 0666.58019
Floer, A.; Hofer, H.; Viterbo, C.
19
1990
Symplectic capacities. Zbl 0729.58026
Hofer, H.
2
1990
Recent progress in symplectic geometry. Zbl 0687.53033
Hofer, H.
2
1990
Symplectic topology and Hamiltonian dynamics. Zbl 0641.53035
Ekeland, I.; Hofer, H.
61
1989
Two symplectic fixed-point theorems with applications to Hamiltonian dynamics. Zbl 0709.58017
Ekeland, I.; Hofer, H.
9
1989
Lusternik-Schnirelman-theory for Lagrangian intersections. Zbl 0669.58006
Hofer, H.
28
1988
The Weinstein conjecture in cotangent bundles and related results. Zbl 0697.58044
Hofer, H.; Viterbo, C.
27
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.
65
1987
Periodic solutions on hypersurfaces and a result by C. Viterbo. Zbl 0631.58022
Hofer, H.; Zehnder, E.
41
1987
Subharmonics for convex nonautonomous Hamiltonian systems. Zbl 0601.58035
Ekeland, I.; Hofer, H.
29
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.
54
1985
A geometric description of the neighbourhood of a critical point given by the mountain-pass theorem. Zbl 0573.58007
Hofer, Helmut
52
1985
Lagrangian embeddings and critical point theory. Zbl 0591.58009
Hofer, Helmut
19
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
48
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
15
1983
Variational and topological methods in partially ordered Hilbert spaces. Zbl 0488.47034
Hofer, Helmut
100
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 965 Authors

33 Hofer, Helmut H. W.
31 Long, Yiming
24 Ginzburg, Viktor L’vovich
22 Albers, Peter
22 Frauenfelder, Urs Adrian
19 Liu, Chungen
16 Gürel, Basak Zehra
16 Polterovich, Leonid Viktorovich
15 Cieliebak, Kai
15 de Gosson, Maurice Alexis
15 Ekholm, Tobias
15 McDuff, Dusa
14 Dancer, Edward Norman
14 Eliashberg, Yakov Matveevich
14 Zehmisch, Kai
13 Abbondandolo, Alberto
13 Etnyre, John B.
13 Macarini, Leonardo
13 Schlenk, Felix
13 Wysocki, Krzysztof
12 Bourgeois, Frédéric
12 Hryniewicz, Umberto L.
12 Santoro Salomão, Pedro AntonioA. S.
12 Wang, Wei
12 Zhang, Duanzhi
11 Dimitroglou Rizell, Georgios
11 Séré, Eric
11 Wendl, Chris
10 Hind, Richard K.
10 Lalonde, François
10 Liu, Hui
10 Seidel, Paul
10 Taubes, Clifford Henry
10 Viterbo, Claude
10 Zehnder, Eduard J.
9 Colin, Vincent
9 Duan, Huagui
9 Floer, Andreas
9 Honda, Ko
9 Kang, Jungsoo
9 Li, Shujie
9 McKenna, Patrick Joseph
9 Oancea, Alexandru
9 Tanaka, Kazunaga
9 Traynor, Lisa
8 Ding, Yanheng
8 Ekeland, Ivar
8 Hutchings, Michael Lounsbery
8 Merry, Will J.
8 Oh, Yong-Geun
8 Ono, Kaoru
8 Paternain, Gabriel Pedro
8 Sabloff, Joshua M.
8 Smith, Ivan
8 Toland, John Francis
8 Wehrheim, Katrin
7 Abouzaid, Mohammed
7 Banyaga, Augustin
7 Geiges, Hansjörg
7 Girardi, Mario
7 McLean, Mark
7 Montecchiari, Piero
7 Sukhov, Alexandre B.
7 Sullivan, Michael G.
7 van Koert, Otto
7 Wang, Zhi-Qiang
7 Woodward, Christopher T.
7 Yan, Shusen
6 Benci, Vieri
6 Biran, Paul
6 Buhovsky, Lev
6 Castro, Alfonso
6 Ghiggini, Paolo
6 Irie, Kei
6 Lazer, Alan C.
6 Li, Chong
6 Ostrover, Yaron
6 Pandharipande, Rahul
6 Pelayo, Alvaro
6 Rossi, Paolo
6 Shi, Haiping
6 Solimini, Sergio
6 Tarantello, Gabriella
6 Usher, Michael
6 Zhang, Fubao
5 An, Tianqing
5 Bramham, Barney
5 Casals, Roger
5 Felmer, Patricio L.
5 Gaussier, Hervé
5 Hu, Xijun
5 Izydorek, Marek
5 Kȩdra, Jarek
5 Kerman, Ely
5 Liu, Zhaoli
5 Lu, Guangcun
5 Massot, Patrick
5 Matzeu, Michele
5 Mazzucchelli, Marco
5 Ng, Lenhard L.
...and 865 more Authors
all top 5

Cited in 203 Serials

69 Geometry & Topology
49 Journal of Differential Equations
44 Journal of Mathematical Analysis and Applications
42 Duke Mathematical Journal
40 Mathematische Zeitschrift
35 Inventiones Mathematicae
35 Nonlinear Analysis. Theory, Methods & Applications
34 Advances in Mathematics
33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
33 Transactions of the American Mathematical Society
30 Calculus of Variations and Partial Differential Equations
29 Journal of Topology and Analysis
28 Algebraic & Geometric Topology
27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
27 Journal of Fixed Point Theory and Applications
23 Mathematische Annalen
23 Geometric and Functional Analysis. GAFA
21 Communications in Mathematical Physics
19 International Journal of Mathematics
19 Communications in Contemporary Mathematics
17 Journal of Functional Analysis
16 Selecta Mathematica. New Series
14 Journal of Geometry and Physics
14 Discrete and Continuous Dynamical Systems
13 Israel Journal of Mathematics
13 Proceedings of the American Mathematical Society
13 Journal of the European Mathematical Society (JEMS)
12 Journal of Mathematical Physics
12 Journal of the American Mathematical Society
11 Bulletin of the American Mathematical Society. New Series
10 Communications on Pure and Applied Mathematics
10 Compositio Mathematica
10 Manuscripta Mathematica
10 Differential Geometry and its Applications
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 Ergodic Theory and Dynamical Systems
9 Science China. Mathematics
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Acta Mathematica Sinica. English Series
8 Frontiers of Mathematics in China
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Commentarii Mathematici Helvetici
7 Geometriae Dedicata
7 Topology and its Applications
7 Annals of Global Analysis and Geometry
7 Journal of Dynamics and Differential Equations
7 Journal of Modern Dynamics
7 Journal of Topology
6 Archive for Rational Mechanics and Analysis
6 Letters in Mathematical Physics
6 Communications in Partial Differential Equations
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Abstract and Applied Analysis
6 Qualitative Theory of Dynamical Systems
6 Advanced Nonlinear Studies
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Archiv der Mathematik
5 Publications Mathématiques
5 Memoirs of the American Mathematical Society
5 Rendiconti del Seminario Matematico della Università di Padova
5 Chinese Annals of Mathematics. Series B
5 Physica D
5 The Journal of Geometric Analysis
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Annals of Mathematics. Second Series
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 Expositiones Mathematicae
4 Indagationes Mathematicae. New Series
4 Journal of Mathematical Sciences (New York)
4 Kyoto Journal of Mathematics
4 Arabian Journal of Mathematics
3 Applicable Analysis
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 Results in Mathematics
3 Linear Algebra and its Applications
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 Proceedings of the Steklov Institute of Mathematics
3 Quantum Topology
3 Annales Mathématiques du Québec
3 Arnold Mathematical Journal
3 Journal de l’École Polytechnique – Mathématiques
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal d’Analyse Mathématique
2 Mathematical Methods in the Applied Sciences
2 Nonlinearity
2 Physics Letters. A
2 Physics Letters. B
2 Rocky Mountain Journal of Mathematics
...and 103 more Serials
all top 5

Cited in 49 Fields

681 Differential geometry (53-XX)
479 Dynamical systems and ergodic theory (37-XX)
278 Manifolds and cell complexes (57-XX)
265 Global analysis, analysis on manifolds (58-XX)
228 Partial differential equations (35-XX)
173 Ordinary differential equations (34-XX)
92 Mechanics of particles and systems (70-XX)
80 Algebraic geometry (14-XX)
77 Several complex variables and analytic spaces (32-XX)
70 Operator theory (47-XX)
43 Quantum theory (81-XX)
36 Algebraic topology (55-XX)
32 Calculus of variations and optimal control; optimization (49-XX)
23 Convex and discrete geometry (52-XX)
13 Fluid mechanics (76-XX)
12 Difference and functional equations (39-XX)
10 Topological groups, Lie groups (22-XX)
9 Functional analysis (46-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Category theory; homological algebra (18-XX)
7 Group theory and generalizations (20-XX)
7 General topology (54-XX)
6 Numerical analysis (65-XX)
6 Mechanics of deformable solids (74-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 Probability theory and stochastic processes (60-XX)
4 Biology and other natural sciences (92-XX)
3 Associative rings and algebras (16-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
2 Number theory (11-XX)
2 Nonassociative rings and algebras (17-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral equations (45-XX)
2 Optics, electromagnetic theory (78-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Operations research, mathematical programming (90-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Geometry (51-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.