Existence of minimizers of free autonomous variational problems via solvability of constrained ones

Giovanni Cupini; Marcello Guidorzi; Cristina Marcelli

Annales de l'I.H.P. Analyse non linéaire (2009)

  • Volume: 26, Issue: 4, page 1183-1205
  • ISSN: 0294-1449

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Cupini, Giovanni, Guidorzi, Marcello, and Marcelli, Cristina. "Existence of minimizers of free autonomous variational problems via solvability of constrained ones." Annales de l'I.H.P. Analyse non linéaire 26.4 (2009): 1183-1205. <http://eudml.org/doc/78885>.

@article{Cupini2009,
author = {Cupini, Giovanni, Guidorzi, Marcello, Marcelli, Cristina},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {nonconvex problems; noncoercive problems; autonomous Lagrangians; constrained problems; relaxation; DuBois-Reymond condition},
language = {eng},
number = {4},
pages = {1183-1205},
publisher = {Elsevier},
title = {Existence of minimizers of free autonomous variational problems via solvability of constrained ones},
url = {http://eudml.org/doc/78885},
volume = {26},
year = {2009},
}

TY - JOUR
AU - Cupini, Giovanni
AU - Guidorzi, Marcello
AU - Marcelli, Cristina
TI - Existence of minimizers of free autonomous variational problems via solvability of constrained ones
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2009
PB - Elsevier
VL - 26
IS - 4
SP - 1183
EP - 1205
LA - eng
KW - nonconvex problems; noncoercive problems; autonomous Lagrangians; constrained problems; relaxation; DuBois-Reymond condition
UR - http://eudml.org/doc/78885
ER -

References

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  13. [13] Marcelli C., Variational problems with nonconvex, noncoercive, highly discontinuous integrands: characterization and existence of minimizers, SIAM J. Control Optim.40 (2002) 1473-1490. Zbl1030.49022MR1882803
  14. [14] Marcelli C., Necessary and sufficient conditions for optimality of nonconvex, noncoercive autonomous variational problems with constraints, Trans. Amer. Math. Soc.360 (2008) 5201-5227. Zbl1148.49025MR2415071
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