Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions

Arrigo Cellina; Fabián Flores

Annales de l'I.H.P. Analyse non linéaire (1992)

  • Volume: 9, Issue: 4, page 465-477
  • ISSN: 0294-1449

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Cellina, Arrigo, and Flores, Fabián. "Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions." Annales de l'I.H.P. Analyse non linéaire 9.4 (1992): 465-477. <http://eudml.org/doc/78288>.

@article{Cellina1992,
author = {Cellina, Arrigo, Flores, Fabián},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {convexity assumptions; radially symmetric solution},
language = {eng},
number = {4},
pages = {465-477},
publisher = {Gauthier-Villars},
title = {Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions},
url = {http://eudml.org/doc/78288},
volume = {9},
year = {1992},
}

TY - JOUR
AU - Cellina, Arrigo
AU - Flores, Fabián
TI - Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1992
PB - Gauthier-Villars
VL - 9
IS - 4
SP - 465
EP - 477
LA - eng
KW - convexity assumptions; radially symmetric solution
UR - http://eudml.org/doc/78288
ER -

References

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  1. [A-T1] G. Aubert and R. Tahraoui, Théorèmes d'existence pour des problèmes du calcul des variations..., J. Diff. Eq., Vol. 33, 1979, pp. 1-15. Zbl0404.49001MR540812
  2. [A-T2] G. Aubert and R. Tahraoui, Théorèmes d'existence en Optimisation non Convexe, Appl. Anal., Vol. 18, 1984, pp. 75-100. Zbl0522.49002MR762866
  3. [Ce] L. Cesari, Optimization-Theory and Applications, Springer-Verlag, New York, 1983. Zbl0506.49001MR688142
  4. [C] D.L. Cohn, Measure Theory, BirkhäuserBoston, 1980. Zbl0436.28001MR578344
  5. [C-C] A. Cellina and G. Colombo, On a Classical Problem of the Calculus of Variations Without Convexity Assumptions, Ann. Inst. Henri Poincaré, Vol. 7, No.2, 1990, pp. 97-106. Zbl0702.49002MR1051230
  6. [DNF] B. Doubrovine, S. Novikov and A. Fomenko, Géométrie Contemporaine Méthodes et Applications, Première Partie, MIR, Moscou, 1982. 
  7. [E-T] I. Ekeland and R. Teman, Convex Analysis and Variational Problems, North-Holland, Amsterdam, 1976. Zbl0322.90046MR463994
  8. [G-T] D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin, 1983. Zbl0562.35001MR737190
  9. [R] J.P. Raymond, Problèmes de Calcul des Variations et de Contrôle Optimal: Existence et Régularité des Solutions, Thèse d'habilitation. 
  10. [T] R. Tahraoui, Sur une classe de fonctionnelles non convexes et applications, SIAM J. Math. Anal., Vol. 31, 1990, pp. 37-52. Zbl0738.73025MR1032726

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