Approximation of the solutions of some variational inequalities

Umberto Mosco

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1967)

  • Volume: 21, Issue: 3, page 373-394
  • ISSN: 0391-173X

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Mosco, Umberto. "Approximation of the solutions of some variational inequalities." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.3 (1967): 373-394. <http://eudml.org/doc/83428>.

@article{Mosco1967,
author = {Mosco, Umberto},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {functional analysis},
language = {eng},
number = {3},
pages = {373-394},
publisher = {Scuola normale superiore},
title = {Approximation of the solutions of some variational inequalities},
url = {http://eudml.org/doc/83428},
volume = {21},
year = {1967},
}

TY - JOUR
AU - Mosco, Umberto
TI - Approximation of the solutions of some variational inequalities
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1967
PB - Scuola normale superiore
VL - 21
IS - 3
SP - 373
EP - 394
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/83428
ER -

References

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  1. (1) See [1] G. Stampacchia, Formes bilinéaires coercitives sur les ensembles convexes, C. R. Acad. Sc. Paris, t. 258 (1964), p. 4413-4416; Zbl0124.06401MR166591
  2. [2] J.L. Lions and G. Stampacchia, Ircequations variationneZLes non coercivesC. R. Acad. Sc. Paris, t. 261 (1965), p. 25-27; Zbl0136.11906MR181914
  3. [3] J.L. Lions and G. Stampacchia, Variational Inequalities, to appear. For the « elliptic regularization » see also J.L. Lions, Some aspects of operator differential equations, Lectures at C.I.M.E., Varenna, May 1963. MR216344
  4. (2) See for instance G.T. Whyburn, Analytic Topology, Amer. Math. Soc. Colloq. Publs., Vol. 26, 1942, p. 10 or C. Berge, Espaces topologiques, 1959, Dunod, Paris p. 124. 
  5. (3) A similar argument has been used by P. HARTMANN and G. STAMPACCHIA to prove the existence of the solution of a non linear variational inequality, see P. H. - G. S., On some non-lineai- elliptic differential functional equations, Acta Mat. Vol. 115,1966, 
  6. (4) W. Littman, G. Stampacchia, H.F. WeinbergerRegular Points for elliptic equations with discontinuous coefficients, Ann. Sc. Norm. Sup. PisaXVII (1963), p. 45-79. Zbl0116.30302MR161019

Citations in EuDML Documents

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  1. Marco Biroli, Sur la dépendance du convexe de la solution du problème de Cauchy pour un'inéquation parabolique avec convexe dépendant du temps. Nota I
  2. Marco Biroli, Sur la dépendance du convexe de la solution du problème de Cauchy pour un'inéquation parabolique avec convexe dépendant du temps. Nota II
  3. Driss Mentagui, Analyse de récession et résultats de stabilité d’une convergence variationnelle, application à la théorie de la dualité en programmation mathématique
  4. Khalid El Hajioui, Driss Mentagui, Slice convergence : stabilité et optimisation dans les espaces non réflexifs
  5. Jin Liang, Regularity of solutions for arbitrary order variational inequalities with general convex sets
  6. Driss Mentagui, Analyse de récession et résultats de stabilité d'une convergence variationnelle, application à la théorie de la dualité en programmation mathématique
  7. Khalid El Hajioui, Driss Mentagui, Slice convergence: stabilité et optimisation dans les espaces non réflexifs

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