A Perturbation Result for a Double Eigenvalue Hemivariational Inequality with Constraints and Applications

Journal of Global Optimization

Volumn 14, Issue 2, 1999, Pages 137-156

  Bocea, M F ^a   Panagiotopoulos, P D ^b,c   Radulescu V D ^a  

^a UNIVERSITY OF CRAIOVA   (Romania)

^b ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^c RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

Adhesively connected von K rm n plates; Coupled semilinear Poisson equation; Double eigenvalue hemivariational inequality; Multiplicity result; Nonconvex perturbation

Indexed keywords

EID: 0347130295     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008212006288     Document Type: Article

References (26)

1. M.F. Bocea, D. Motreanu and P.D. Panagiotopoulos, Multiple solutions for a double eigen-value hemivariational inequality on a spherelike type manifold, Nonlinear Analysis, T.M.A. (to appear).
2. K.C. Chang (1981), Variational methods for non-differentiable functionals and their applications to partial differential equations, J. Math. Anal. Appl. 80: 102-129.
3. F.H. Clarke, (1983), Optimization and Nonsmooth Analysis. New York: Wiley.
4. J.N. Corvellec, M. Degiovanni and M. Marzocchi (1993), Deformation properties for continu-ous functionals and critical point theory, Top. Meth. Nonl. Anal. 1: 151-171.
5. M. Degiovanni and S. Lancelotti (1995), Perturbations of even nonsmooth functionals, Differential Integral Equations 8: 981-992.
6. G. Fichera (1964), Problemi elastostatici con vincoli unilaterali: il problema di Signorini con ambigue condizioni al contorno, Mem. Accad. Naz. Lincei 7: 91-140.
7. V.K. Le and K. Schmitt (1997), Global Bifurcation in Variational Inequalities. Berlin / New York: Springer Verlag.
8. J.L. Lions and G. Stampacchia (1967), Variational inequalities, Comm. Pure Appl. Math. 20: 493-519.
9. D. Motreanu and P.D. Panagiotopoulos (1998), Double eigenvalue problems for hemivariational inequalities, Arch. Rat. Mech. Analysis.
10. D. Motreanu and P.D. Panagiotopoulos (1996), On the eigenvalue problem for hemivariational inequalities: existence and multiplicity of solutions, J. Math. Anal. Appl. 197: 75-89.
11. D. Motreanu and P.D. Panagiotopoulos (1995), An eigenvalue problem for a hemivariational inequality involving a nonlinear compact operator, Set-Valued Anal. 3: 157-166.
12. D. Motreanu and P.D. Panagiotopoulos (1993), Hysteresis: The eigenvalue hemivariational inequalities, in A. Visintin (ed.), Models of Hysteresis (pp. 102-117). Longman Scientific and Technical, Harlow.
13. D. Motreanu and P.D. Panagiotopoulos (1995), Nonconvex energy functions, related eigenvalue hemivariational inequalities on the sphere and applications, J. Global Optimiz. 6: 163-177.
14. Z. Naniewicz and P.D. Panagiotopoulos (1995), Mathematical Theory of Hemivariational Inequalities and Applications. Basel/New York: Marcel Dekker.
15. J. Naumann and H.V Wenk (1976), On eigenvalue problems for variational inequalities, Rendiconti di matematica 9 (Serie VI): 439-463.
16. P.D. Panagiotopoulos and G. Stavroulakis (1989), A variational-hemivariational inequality approach to the laminated plate theory under subdifferential boundary conditions, Quart. of Appl. Math. 47: 611-629.
17. P.D. Panagiotopoulos (1983), Nonconvex energy functions. Hemivariational inequalities and substationarity principles, Acta Mechanica 42: 160-183.
18. P.D. Panagiotopoulos, (1988), Hemivariational inequalities and their applications, in J.J. Moreau, P.D. Panagiotopoulos and G. Strang (eds.), Topics in Nonsmooth Mechanics Basel: Birkhäuser-Verlag.
19. P.D. Panagiotopoulos (1988), Nonconvex superpotentials and hemivariational inequalities: Quasidiferentiability in mechanics, in J.J. Moreau and P.D. Panagiotopoulos (eds.), Nonsmooth Mechanics and Applications. CISM Courses and Lectures No. 302. Berlin/New York: Springer Verlag.
20. P.D. Panagiotopoulos (1985), Nonconvex problems of semipermeable media and related topics, Z.Angew. Math. Mech. 65: 29-36.
21. P.D. Panagiotopoulos (1985), Inequality Problems in Mechanics and Applications. Convex and Nonconvex Energy Functional. Basel / Boston: Birkhäuser-Verlag (Russian Translation MIR Publ., Moscow, 1989).
22. P.D. Panagiotopoulos (1993), Hemivariational Inequalities: Applications to Mechanics and Engineering. Berlin / New York: Springer Verlag.
23. P.D. Panagiotopoulos (1989), Semicoercive hemivariational inequalities. On the delamination of composite plates, Quart. Appl. Math. 47: 611-629.
24. V.D. Rǎdulescu and P.D. Panagiotopoulos (1998), Perturbations of hemivariational inequalities with constraints and applications, J. Global Optimiz. 12: 285-297.
25. R.T. Rockafellar (1979), La théorie des sous-gradients et ses applications àl 'optimisation. Fonctions convexes et non-convexes. Montreal: Les Presses de l'Université de Montreal.
26. E.H. Spanier (1966), Algebraic Topology. New-York: Mc-Graw-Hill Book Co.