The Palais-Smale Condition and Mañé's Critical Values

By G. Contreras, R. Iturriaga, Gabriel P. Paternain, M. Paternain. 2000

52 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2ebb6b9c7a89fe920daadc90494e3ff9207a1753

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. G. Contreras
2. Urs Frauenfelder
3. Gabriel P. Paternain
4. F. Schlenk
5. Michael Usher
6. Kai Cieliebak
7. P. Bernard
8. A. Sorrentino

In Mathematical Physics

1. G. Contreras
2. Urs Frauenfelder
3. Gabriel P. Paternain
4. F. Schlenk
5. Michael Usher
6. Kai Cieliebak
7. P. Bernard
8. A. Sorrentino

In Statistical and Nonlinear Physics

1. G. Contreras
2. Urs Frauenfelder
3. F. Schlenk
4. Gabriel P. Paternain
5. P. Bernard
6. A. Sorrentino

Citations in the corpus

• Periodic orbits for exact magnetic flows on surfaces (2004, background): “Theorem 27 in [7] says that for any k > cu(L) there are closed magnetic geodesics in any non-trivial homotopy class.”
• The Palais-Smale condition on contact type energy levels for convex Lagrangian systems (2003, methodology): “In this paper we continue the study of the Morse theory of the free time action functional for convex lagrangian systems that we begun in [7].”
• Applications of Hofer's geometry to Hamiltonian dynamics (2003, background): “There has been much recent progress in the existence problem for periodic orbits of a charge in a magnetic field ([45], [31], [1], [13], [24], [14], [38], [50], [18], [30], [7], [19], [5], [17], [41], [8], [6], [12], [47]).”