The structure and limiting behavior of locally optimal minimizers

Moshe Marcus; Alexander J. Zaslavski

Annales de l'I.H.P. Analyse non linéaire (2002)

  • Volume: 19, Issue: 3, page 343-370
  • ISSN: 0294-1449

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Marcus, Moshe, and Zaslavski, Alexander J.. "The structure and limiting behavior of locally optimal minimizers." Annales de l'I.H.P. Analyse non linéaire 19.3 (2002): 343-370. <http://eudml.org/doc/78548>.

@article{Marcus2002,
author = {Marcus, Moshe, Zaslavski, Alexander J.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {infinite horizon problems; -optimal minimizers; limiting set; Zbl 0788.73015},
language = {eng},
number = {3},
pages = {343-370},
publisher = {Elsevier},
title = {The structure and limiting behavior of locally optimal minimizers},
url = {http://eudml.org/doc/78548},
volume = {19},
year = {2002},
}

TY - JOUR
AU - Marcus, Moshe
AU - Zaslavski, Alexander J.
TI - The structure and limiting behavior of locally optimal minimizers
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2002
PB - Elsevier
VL - 19
IS - 3
SP - 343
EP - 370
LA - eng
KW - infinite horizon problems; -optimal minimizers; limiting set; Zbl 0788.73015
UR - http://eudml.org/doc/78548
ER -

References

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  3. [3] B.D. Coleman, On the cold drawing of polymers, Comp. & Math. with Appls. 11, 35–65. Zbl0634.73030MR787427
  4. [4] Coleman B.D., Marcus M., Mizel V.J., On the thermodynamics of periodic phases, Arch. Rational Mech. Anal.117 (1992) 321-347. Zbl0788.73015MR1148212
  5. [5] Leizarowitz A., Infinite horizon autonomous systems with unbounded cost, Appl. Math. Optim.13 (1985) 19-43. Zbl0591.93039MR778419
  6. [6] Leizarowitz A., Mizel V.J., One dimensional infinite horizon variational problems arising in continuum mechanics, Arch. Rational Mech. Anal.106 (1989) 161-194. Zbl0672.73010MR980757
  7. [7] Marcus M., Uniform estimates for a variational problem with small parameters, Arch. Rational Mech. Anal.124 (1993) 67-98. Zbl0793.49019MR1233648
  8. [8] Marcus M., Universal properties of stable states of a free energy model with small parameters, Cal. Var.6 (1998) 123-142. Zbl0897.49010MR1606469
  9. [9] Marcus M., Zaslavski A.J., The structure of extremals of a class of second order variational problems, Ann. Inst. H. Poincare Anal. non Lineare16 (1999) 593-629. Zbl0989.49003MR1712568
  10. [10] Marcus M., Zaslavski A.J., On a class of second order variational problems with constraints, Israel J. Math.111 (1999) 1-28. Zbl0935.49001MR1710729
  11. [11] Mizel V.J., Peletier L.A., Troy W.C., Periodic phases in second order materials, Arch. Rational Mech. Anal.145 (1998) 343-382. Zbl0931.74006MR1664530
  12. [12] Zaslavski A.J., The existence of periodic minimal energy configurations for one-dimensional infinite horizon variational problems arising in continuum mechanics, J. Math. Anal. Appl.194 (1995) 459-476. Zbl0869.49003MR1345049
  13. [13] Zaslavski A.J., The existence structure of extremals for a class of second order infinite horizon variational problems, J. Math. Anal. Appl194 (1995) 660-696. Zbl0860.49001MR1350190
  14. [14] Zaslavski A.J., Structure of extremals for one-dimensional variational problems arising in continuum mechanics, J. Math. Anal. Appl.198 (1996) 893-921. Zbl0881.49001MR1377832

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