Quasilinear elliptic inclusions of hemivariational type: Extremality and compactness of the solution set

Journal of Mathematical Analysis and Applications

Volumn 286, Issue 1, 2003, Pages 147-159

  Carl, S ^a   Motreanu, D ^b  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

^b UNIVERSITÉ DE PERPIGNAN   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142119420     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00461-X     Document Type: Article

References (12)

1. S. Carl, A survey of recent results on the enclosure and extremality of solutions for quasilinear hemivariational inequalities, in: R.P. Gilbert, P.D. Panagiotopoulos, P.M. Pardalos (Eds.), From Convexity to Nonconvexity, Kluwer Academic, Dordrecht, 2001, pp. 15-28.
2. S. Carl, Extremal solutions of hemivariational inequalities with d.c.-superpotentials, in: Differential Equations and Nonlinear Mechanics, in: Math. Appl., Vol. 528, Kluwer Academic, Dordrecht, 2001, pp. 11-25.
3. S. Carl, Existence of extremal solutions of boundary hemivariational inequalities, J. Differential Equations 171 (2001) 370-396.
4. S. Carl, Extremal solutions of parabolic hemivariational inequalities, Nonlinear Anal. 47 (2001) 5077-5088.
5. S. Carl, R.P. Gilbert, Extremal solutions of a class of dynamic boundary hemivariational inequalities, J. Inequal. Appl. 7 (2002) 479-502.
6. S. Carl, S. Heikkilä, Nonlinear Differential Equations in Ordered Spaces, Chapman and Hall/CRC, London, 2000.
7. S. Carl, D. Motreanu, Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient, J. Differential Equations 191 (2003) 206-233.
8. F.H. Clarke, Optimization and Nonsmooth Analysis, SIAM, Philadelphia, 1990.
9. F. Dem'yanov, G.E. Stavroulakis, L.N. Polyakova, P.D. Panagiotopoulos, Quasidifferentiability and Non-smooth Modelling in Mechanics, Engineering and Economics, Kluwer Academic, Dordrecht, 1996.
10. p-2u = 0, Proc. Amer. Math. Soc. 109 (1990) 157-164, addendum: Proc. Amer. Math. Soc. 116 (1992) 583-584.
11. Z. Naniewicz, P.D. Panagiotopoulos, Mathematical Theory of Hemivariational Inequalities and Applications, Dekker, New York, 1995.
12. P.D. Panagiotopoulos, Hemivariational Inequalities and Applications in Mechanics and Engineering, Springer-Verlag, New York, 1993.