Existence and multiplicity results for hemivariational inequalities with two parameters

Nonlinear Analysis, Theory, Methods and Applications

Volumn 67, Issue 9, 2007, Pages 2654-2669

  Faraci, Francesca ^a   Iannizzotto, Antonio ^a   Kupán, Pál ^b   Varga, Csaba ^c  

^a UNIVERSITY OF CATANIA   (Italy)

^b SAPIENTIA HUNGARIAN UNIVERSITY OF TRANSYLVANIA   (Romania)

^c BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

Hemivariational inequalities; Locally Lipschitz functions; Minimax inequality; Principle of symmetric criticality

Indexed keywords

HEMIVARIATIONAL INEQUALITIES; LOCALLY LIPSCHITZ FUNCTIONS; MINIMAX INEQUALITY; PRINCIPLE OF SYMMETRIC CRITICALITY;

FUNCTIONAL ANALYSIS; PARAMETER ESTIMATION; PROBLEM SOLVING; THEOREM PROVING;

NONLINEAR ANALYSIS;

EID: 34447623954     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.09.030     Document Type: Article

References (23)

1. Adams R. Sobolev Spaces (1975), Academic Press, New York
2. Anello G. A multiplicity theorem for critical points of functionals on reflexive Banach spaces. Arch. Math. (Basel) 82 (2004) 172-179
3. F. Cammaroto, A. Chinnì, B. Di Bella, Multiple solutions for a Dirichlet problem involving the p-Laplacian, Dynam. Systems Appl. (in press)
4. F. Cammaroto, A. Chinnì, B. Di Bella, Multiplicity results for nonlinear Schrödinger equation, Glasg. Math. J. (in press)
5. Chabrowski J. Variational Methods for Potential Operator Equations (1997), De Gruyter, Berlin, New York
6. Chang K.C. Variational methods for non-differentiable functionals and their applications to partial differential equations. J. Math. Anal. Appl. 80 (1981) 102-129
7. Dályai Z., and Varga Cs. An existence result for hemivariational inequalities. Electron. J. Differential Equations 37 (2004) 1-17
8. De Giorgi E., Buttazzo G., and Dal Maso G. On the lower semicontinuity of certain integral functionals. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 74 (1983) 274-282
9. Esteban M.J. Nonlinear elliptic problems in strip-like domains: Symmetry of positive vortex rings. Nonlinear Anal. 7 (1983) 365-379
10. Esteban M.J., and Lions P.L. A compactness lemma. Nonlinear Anal. 7 (1983) 381-385
11. N. Differential Integral Equations 13 (2000) 47-60
12. Ghoussoub N., and Preiss D. A general mountain pass principle for locating and classifying critical points. Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989) 321-330
13. Gilbarg D., and Trudinger N.S. Elliptic Partial Differential Equations of Second Order (1977), Springer-Verlag, Berlin
14. Krawcewicz W., and Marzantowicz W. Some remarks on the Lusternik-Schnirelman method for non-differentiable functionals invariant with respect to a finite group action. Rocky Mountain J. Math. 20 (1990) 1041-1049
15. Kristály A. Multiplicity results for an eigenvalue problem for hemivariational inequalities in strip-like domains. Set-Valued Anal. 13 (2005) 85-103
16. Marano S., and Motreanu D. On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems. Nonlinear Anal. 48 (2002) 37-52
17. Motreanu D., and Panagiotopoulos P.D. Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities. Nonconvex Optimization and Its Application vol. 29 (1999), Kluwer Academic Publishers, Dordrecht
18. Motreanu D., and Varga Cs. A nonsmooth equivariant minimax principle. Commun. Appl. Anal. 3 (1999) 115-130
19. Panagiotopoulos P.D. Inequality Problems in Mechanics and Applications - Convex and Nonconvex Energy Functionals (1985), Birkhäuser Verlag, Basel
20. Palais R.S. The principle of symmetric criticality. Comm. Math. Phys. 69 (1979) 19-30
21. Ricceri B. On a three critical points theorem. Arch. Math. 75 (2000) 220-226
22. Ricceri B. Minimax theorems for limits of parametrized functions having at most one local minimum lying in a certain set. Topology Appl. 153 (2006) 3308-3312
23. Struwe M. Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems (1996), Springer-Verlag, Berlin