19
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On a class of Hemivariational inequalities involving hemicontinuous monotone operators. Application in unilateral mechanics

Unilateral mechanics

Pages 77-92 | Published online: 18 May 2010

References

  • Adams , R. A. 1975 . Sobolev Spaces , New York : Academic Press .
  • Adly S. Goeleven D. Théra M. Recession Mappings and Noncoercive Variational Inequalities Nonlinear Analysis, Theory, Methods and Applications to appear in
  • Attouch H. Chbani Z. Moudafi A. Recession Operators and Solvability of variational Problems Preprint. Université de Montpellier II 1993 Preprint
  • Baiocchi , C. , Buttazzo , G. , Gastaldi , F. and Tomarelli , F. 1988 . General Existence Theorems for Unilateral Problems in Continuum Mechanics . Arch. Rat. Mech. Anal. , 100 ( 2 ) : 149 – 180 .
  • Brézis , H. and Nirenberg , L. 1978 . Characterizations of the Ranges of Some Non-linear Operators and Applications to Boundary value Problems . Ann. Scuola Normale superiore Pisa, Classe di Scienze , V ( 2 ) : 225 – 235 . Serie IV
  • Brézies , H. 1983 . “ Analyse Fonctionnelle ” . In Théorie et Applications , Paris : Masson .
  • Clarke , F. H. 1981 . Generalized gradients of Lipschitz functions . Adv. Math. , 40 : 52 – 67 .
  • Clarke , F. H. 1984 . Nonsmooth Analysis and Optimization , New York : Wiley .
  • Dautray , R. and Lions , J. -L. 1988 . Analyse Mathématique et Calcul Numérique pour les sciences et les techniques , Paris : Masson .
  • Dieudonné , J. 1968 . Eléments d' Analyse , Gauthier-Villars .
  • Fichera , G. 1972 . Boundary Value Problems in Elasticity with Unilateral Constraints, Handbuch der Physik , 2 Vol. VIa , 347 – 389 . Berlin,Heidelberg,New York : Springer-Verlag .
  • Goeleven D. Noncoercive Hemivariational Inequality Approach to Constrained Problems for Star-Shaped Admissible Sets To appear in Journal of Golbal Optimization
  • Granas A. Méthodes Topologiques en Analyse Convexe, Partie 3 des comptes rendus du cours d'été OTAN 'Variational Methods in Nonlinear Problems' Les Presses de l'Université de Montréal 1990 n° 110
  • Kikuchi N. Oden J.T. Contact Problems in Elasticity: A study of Variational Inequalities and Finite Element Methods SIAM, Philadelphia 1988
  • Naniewicz , Z. 1994 . Hemivariational Inequality Approach to Constrained Problems for Star-Shaped Admissible Sets . Journal of Optimization Theory and Applications , 83 ( 1 ) : 97 – 112 .
  • Naniewicz Z. Hemivariational Inequalitites with Functions Fulfilling Directional Growth Condition To appear in Applicable Analysis
  • Naniewicz , z. 1989 . On some Nonmonotone Subdifferential Boundary Conditions in Elastostatics . Ingenieur-Archiv , 60 ( 1 ) : 31 – 40 .
  • Panagiotopoulos , P.D. 1991 . Coercive and Semicoercive Hemivariational Inequalities . Nonlinear Analysis, Theory, Methods & Applications , 16 ( 3 ) : 209 – 231 .
  • Panagiotopoulos , P.D. 1988 . “ Hemivariational Inequalities and their Applications ” . In Topics in Nonsmooth Mechanics, Birkhaüser , Edited by: Strang , G. Verlag .
  • Panagiotopoulos , P.D. 1981 . Nonconvex Superpotentials in the Sense of F.H. Clarke and Applications . Mech. Res. Comm. , 8 : 335 – 340 .
  • Panagiotopoulos , P.D. 1983 . Nonconvex Energy Function, Hemivariational Inequalities and Substationarity Principles . Acta Mech. , 48 : 160 – 183 .
  • Panaiotopoulos , P.D. 1993 . “ Hemivariational Inequalities ” . In Applications in Mechanics and Engineering , Berlin, Heidelberg : Springer Verlang .
  • Pascali , D. and Sburlan , S. 1978 . Nonlinear Mappings of Monotone Type , Amsterdam, , The Netherlands : Sijthoff and Noordhooff International Publishers .
  • Rockafellar , R.T. 1970 . Convex Analysis , Princeton : University Press . Princeton N.J.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.