Periodic solutions of quadratic lagrangian systems on p -convex sets

Annamaria Canino

Annales de la Faculté des sciences de Toulouse : Mathématiques (1991)

  • Volume: 12, Issue: 1, page 37-60
  • ISSN: 0240-2963

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Canino, Annamaria. "Periodic solutions of quadratic lagrangian systems on $p$-convex sets." Annales de la Faculté des sciences de Toulouse : Mathématiques 12.1 (1991): 37-60. <http://eudml.org/doc/73274>.

@article{Canino1991,
author = {Canino, Annamaria},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {periodic solutions; quadratic Lagrangian systems; nonsmooth functional; regularity results; generalized critical points},
language = {eng},
number = {1},
pages = {37-60},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Periodic solutions of quadratic lagrangian systems on $p$-convex sets},
url = {http://eudml.org/doc/73274},
volume = {12},
year = {1991},
}

TY - JOUR
AU - Canino, Annamaria
TI - Periodic solutions of quadratic lagrangian systems on $p$-convex sets
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1991
PB - UNIVERSITE PAUL SABATIER
VL - 12
IS - 1
SP - 37
EP - 60
LA - eng
KW - periodic solutions; quadratic Lagrangian systems; nonsmooth functional; regularity results; generalized critical points
UR - http://eudml.org/doc/73274
ER -

References

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  1. [1] Benci ( V.) .— Periodic solutions of Lagrangian systems on a compact manifold, J. Differential Equations63 (1986), pp. 135-161. Zbl0605.58034MR848265
  2. [2] Canino ( A.) .— On p-convex sets and geodesics, J. Differential Equations75 (1988), pp. 118-157. Zbl0661.34042MR957011
  3. [3] Canino ( A.) . — Existence of a closed geodesic on p-convex sets, Ann. Inst. H. Poincaré, Anal. Non Linéaire5 (1988), pp. 501-518. Zbl0698.58017MR978669
  4. [4] Canino ( A.) . — Local properties of geodesics on p-convex sets, Ann. Mat. Pura Appl., (in press). Zbl0767.53033MR1145087
  5. [5] Canino ( A.) .— Periodic solutions of Lagrangian systems on manifolds with boundary, Nonlinear Anal., 16 (1991), pp. 567-586. Zbl0721.58039MR1094319
  6. [6] Chobanov ( G.), Marino ( A.) and Scolozzi ( D.) .— Evolution equation for the eigenvalue problem for the Laplace operator with respect to an obstacle, Rend. Accad. Naz. Sci. XL Mem. Mat.5, (in press). Zbl0729.35088MR1106575
  7. [7] Chobanov ( G.), Marino ( A.) and Scolozzi ( D.) .— Multiplicity of eigenvalues for the Laplace operator with respect to an obstacle and non tangency conditions, Nonlinear Anal.15 (1990), pp. 199-215. Zbl0716.49009MR1065252
  8. [8] De Giorgi ( E.), Degiovanni ( M.), Marino ( A.) and Tosques ( M.) .— Evolution equations for a class of nonlinear operators, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 75 (1983), pp. 1-8. Zbl0597.47045MR780801
  9. [9] De Giorgi ( E.), Marino ( A.) and Tosques ( M.) .— Problemi di evoluzione in spazi metrici e curve di massima pendenza, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 68 (1980), pp. 180-187. Zbl0465.47041MR636814
  10. [10] Degiovanni ( M.) .— Homotopical properties of a class of nonsmooth functionsAnn. Mat. Pura Appl. (4) 156 (1990), pp. 37-71. Zbl0722.58013MR1080210
  11. [11] Degiovanni ( M.), Marino ( A.) and Tosques ( M.) .— Evolution equations with lack of convexity, Nonlinear Anal.9 (1985), pp. 1401-1443. Zbl0545.46029MR820649
  12. [12] Fadell ( E.) and Husseini ( S.) .— A note on the category of the free loop space, Proc. Amer. Math. Soc.107 (1989), pp. 527-536. Zbl0676.58019MR984789
  13. [13] Fadell ( E.) and Husseini ( S.) .— Extending Serre's theorem on the category of loop spaces, Preprint, 1990. Zbl0756.55008MR1137900
  14. [14] Marino ( A.) and Scolozzi ( D.) .— Geodetiche con ostacolo, Boll. Un. Mat. Ital.B (6) 2 (1983), pp. 1-31. MR698480
  15. [15] Scolozzi ( D.) .— Esistenza e molteplicità di geodetiche con ostacolo e con estremi variabili, Ricerche Mat.33 (1984), pp. 171-201. Zbl0592.53040
  16. [16] Scolozzi ( D.) . — Un teorema di esistenza di una geodetica chiusa su variatà con bordo, Boll. Un. Mat. Ital.A (6) 4 (1985), pp. 451-547. 
  17. [17] Scolozzi ( D.) . — Molteplicità di curve con ostacolo e stazionarie per una classe di funzionali non regolari, Preprint n° 69, Dip. Mat. Pisa, 1984. 
  18. [18] Scolozzi ( D.) . — Esistenza di una curva chiusa stazionaria e con ostacolo, Preprint n° 70, Dip. Mat. Pisa, 1984. 
  19. [19] Serre ( J.P.) .— Homologie singulière des espaces fibrés, Ann. of Math.54 (1951), pp. 425-505. Zbl0045.26003MR45386

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