On some results of Moser and of Bangert

P. H. Rabinowitz; E. Stredulinsky

Annales de l'I.H.P. Analyse non linéaire (2004)

  • Volume: 21, Issue: 5, page 673-688
  • ISSN: 0294-1449

How to cite

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Rabinowitz, P. H., and Stredulinsky, E.. "On some results of Moser and of Bangert." Annales de l'I.H.P. Analyse non linéaire 21.5 (2004): 673-688. <http://eudml.org/doc/78634>.

@article{Rabinowitz2004,
author = {Rabinowitz, P. H., Stredulinsky, E.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Monotone twist maps; Minimal heteroclinic; Aubry-Mather theory; Renormalized functional},
language = {eng},
number = {5},
pages = {673-688},
publisher = {Elsevier},
title = {On some results of Moser and of Bangert},
url = {http://eudml.org/doc/78634},
volume = {21},
year = {2004},
}

TY - JOUR
AU - Rabinowitz, P. H.
AU - Stredulinsky, E.
TI - On some results of Moser and of Bangert
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2004
PB - Elsevier
VL - 21
IS - 5
SP - 673
EP - 688
LA - eng
KW - Monotone twist maps; Minimal heteroclinic; Aubry-Mather theory; Renormalized functional
UR - http://eudml.org/doc/78634
ER -

References

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  1. [1] Alama S., Li Y., On “multibump” bound states for certain semilinear elliptic equations, Indiana Univ. Math. J.41 (1992) 983-1026. Zbl0796.35043
  2. [2] Alessio F., Jeanjean L., Montecchiari P., Existence of infinitely many stationary layered solutions in R2 for a class of periodic Allen–Cahn equations, Comm. PDE27 (2002) 1537-1574. Zbl1125.35342MR1924477
  3. [3] Aubry S., LeDaeron P.Y., The discrete Frenkel–Kantorova model and its extensions I-Exact results for the ground states, Physica D8 (1983) 381-422. MR719634
  4. [4] Bangert V., On minimal laminations of a torus, AIHP Anal. Nonlin.6 (1989) 95-138. Zbl0678.58014MR991874
  5. [5] Coti Zelati V., Rabinowitz P.H., Homoclinic type solutions for a semilinear elliptic PDE on Rn, Comm. Pure Appl. Math.45 (1992) 1217-1269. Zbl0785.35029MR1181725
  6. [6] Giaquinta M., Guisti E., On the regularity of the minima of variational integrals, Acta Math.148 (1982) 31-46. Zbl0494.49031MR666107
  7. [7] Mather J.N., Existence of quasi-periodic orbits for twist homeomorphisms of the annulus, Topology21 (1982) 457-467. Zbl0506.58032MR670747
  8. [8] Moser J., Minimal solutions of variational problems on a torus, AIHP Anal. Nonlin.3 (1986) 229-272. Zbl0609.49029MR847308
  9. [9] Rabinowitz P.H., Stredulinsky E., Mixed states for an Allen–Cahn type equation, Comm. Pure Appl. Math.56 (2003) 1078-1134. Zbl1274.35122MR1989227
  10. [10] Séré E., Existence of infinitely many homoclinic orbits in Hamiltonian systems, Math. Z.209 (1992) 27-42. Zbl0725.58017MR1143210

Citations in EuDML Documents

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  1. Alexander J. Zaslavski, Structure of approximate solutions of variational problems with extended-valued convex integrands
  2. Alexander J. Zaslavski, Structure of approximate solutions of variational problems with extended-valued convex integrands
  3. Alexander J. Zaslavski, A nonintersection property for extremals of variational problems with vector-valued functions
  4. Rafael de la Llave, Enrico Valdinoci, A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations

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