Existence of solutions for some quasi-variational inequalities

Robert T. Vescan

Rendiconti del Seminario Matematico della Università di Padova (1980)

  • Volume: 63, page 215-230
  • ISSN: 0041-8994

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Vescan, Robert T.. "Existence of solutions for some quasi-variational inequalities." Rendiconti del Seminario Matematico della Università di Padova 63 (1980): 215-230. <http://eudml.org/doc/107769>.

@article{Vescan1980,
author = {Vescan, Robert T.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {quasi-variational inequalities; implicit obstacle},
language = {eng},
pages = {215-230},
publisher = {Seminario Matematico of the University of Padua},
title = {Existence of solutions for some quasi-variational inequalities},
url = {http://eudml.org/doc/107769},
volume = {63},
year = {1980},
}

TY - JOUR
AU - Vescan, Robert T.
TI - Existence of solutions for some quasi-variational inequalities
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1980
PB - Seminario Matematico of the University of Padua
VL - 63
SP - 215
EP - 230
LA - eng
KW - quasi-variational inequalities; implicit obstacle
UR - http://eudml.org/doc/107769
ER -

References

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  1. [1] J.P. Aubin, Un théoreme de compacité, C. R. Acad. Sci. Paris Sér. A, 256 (1963), pp. 5042-5044. Zbl0195.13002MR152860
  2. [2] C. Baiocchi, Free boundary problems in the theory of fluid flow through porous media, Publicazioni no. 83, Laboratorio di analisi numerica del C.N.R., Pavia, 1976; Proceedings of the Int. Congress of Math., Vancouver, 1974, pp. 237-243. Zbl0347.76067MR421331
  3. [3] C. Baiocchi, Studio di un problema quasi-variazionale connesso a problemi di frontiera libera, Bollettino U.M.I. (4), 11, Suppl. fasc. 3 (1975), pp. 589-613. Zbl0317.49009MR399982
  4. [4] A. Bensoussan - J. L. LIONS, Nouvelle formulation des problèmes de controle impulsionnel et applications, C. R. Acad. Sci. Paris Sér. A, 276 (1973), pp. 1189-1192, 1333-1338. Zbl0266.49007MR317142
  5. [5] A. Bensoussan - J.L. Lions, Propriétés des inéquations quasi-variationnelles decroissantes, in Analyse Convexe et ses Applications (J. P. Aubin, ed.), pp. 66-84, Lecture Notes in Economics and Mathematical Systems, 102, Springer-Verlag, Berlin- Heidelberg-New York, 1974. Zbl0305.49006MR482464
  6. [6] F.E. Browder, The fixed point theory of multivalued mappings in topological spaces, Math. Ann., 177 (1968), pp. 283-301. Zbl0176.45204MR229101
  7. [7] J.L. Lions - E. Magenes, Non-homogeneous boundary value problems and applications, Die Grundlehren der Math. Wiss., Band 181, Springer-Verlag, Berlin-Heidelberg -New York, 1972. Zbl0223.35039
  8. [8] G.J. Minty, On variational problems for monotone operators I, Advances in Math., 30, no. 1, October 1978. Zbl0407.49008MR511738
  9. [9] U. Mosco, Implicit variational problems and quasi-variational inequalities, in Nonlinear Operators and the Calculus of Variations, Bruxelles, 1975, Lecture Notes in Math. 543, Springer-Verlag, Berlin-Heidelberg-New York, 1976. Zbl0346.49003MR513202
  10. [10] J. Mossino, Application des inéquations quasi-variationelles à quelques problèmes non linéaires de la physique des plasmas, Israel J. of Math., 30 (1978), pp. 14-50. Zbl0399.35047MR508250
  11. [11] J. Mossino, Etude de quelques problèmes non linéaires d'un type nouveau apparaissant en physique des ptasmas, Thèse, Publications Mathématiques d'Orsay no. 77-71, Université de Paris-Sud, 1977. Zbl0398.35079MR601970
  12. [12] L. Tartar, Inéquations quasi-variationelles abstraites, C. R. Acad. Sci. Paris Sér. A, 278 (1974), pp. 1193-1196. Zbl0334.49003MR344964
  13. [13] R.T. Vescan, An existence theorem for quasi-variational inequalities, in Proceedings of a Summer-School in Variational Inequalities held at Constanta, 1979, pp. 115-124. Zbl0445.49009MR589555

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