Hostname: page-component-745bb68f8f-lrblm Total loading time: 0 Render date: 2025-02-05T10:51:07.318Z Has data issue: false hasContentIssue false
  • English
  • Français

Existence and multiplicity results for semicoercive unilateral problems

Published online by Cambridge University Press:  17 April 2009

D. Goeleven ,
V.H. Nguyen  and
M. Willem
D. Goeleven
Affiliation:
Département de Mathématiques FacultésUniversitaires Notre-Damede la Paix Rempart de la Vierge 8 B-5000 NamurBelgique
V.H. Nguyen
Affiliation:
Institut de Mathématique Pureet Appliquée Bâtiment Marc de Hemptinne Chemin du Cyclotron 2 B-1348, Louvain-la-NeuveBelgique
M. Willem
Affiliation:
Institut de Mathématique Pureet Appliquée Bâtiment Marc de Hemptinne Chemin du Cyclotron 2 B-1348, Louvain-la-NeuveBelgique
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, we investigate a general class of variational inequalities. Existence and multiplicity results are obtained by using minimax principles for lower semicontinuous functions due to A. Szulkin.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 3 , June 1994 , pp. 489 - 497
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Naoum, A.K. Ben, Troestler, C. and Willem, M., ‘Existence and multiplicity results for non-homogeneous second order differential equations’, J. Differential Equations (to appear).Google Scholar
[2]Lassoued, L., ‘Periodic solutions of a second order superquadratic system with change of sign of potential’, J. Differential Equations 93 (1991), 1–18.Google Scholar
[3]Mawhin, J. and Willem, M., Critical point theory and Hamiltonian systems (Springer-Verlag, Berlin, Heidelberg, New York, 1989).Google Scholar
[4]Szulkin, A., ‘Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems’, Ann. Inst. Henri Poincaré 3 (1986), 77–109.CrossRefGoogle Scholar
[5]Szulkin, A., ‘Ljusternik-Schnirelman theory on C 1-manifolds’, Ann. Inst. Henri Poincaré 5 (1988), 119–139.CrossRefGoogle Scholar