Existence of extremal solutions of boundary hemivariational inequalities

Journal of Differential Equations

Volumn 171, Issue 2, 2001, Pages 370-396

  Carl, S ^a  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035836898     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3845     Document Type: Article

References (18)

1. S. Carl, Enclosure of solutions for quasilinear dynamic hemivariational inequalities, Nonlinear World 3 (1996), 281-298.
2. S. Carl and H. Dietrich, The weak upper and lower solution method for quasilinear elliptic equations with generalized subdifferentiable perturbations, Appl. Anal. 56 (1995), 263-278.
3. S. Carl and S. Heikkilä, On the existence of extremal solutions for discontinuous elliptic equations under discontinuous flux conditions, Nonlinear Anal. 23 (1994), 1499-1506.
4. F. H. Clarke, "Optimization and Nonsmooth Analysis," SIAM, Philadelphia, 1990.
5. F. Dem'yanov, G. E. Stavroulakis, L. N. Polyakova and P. D. Panagiotopoulos, "Quasi-differentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics," Kluwer Academic Publishers, Dordrecht, 1996.
6. J. Deuel and P. Hess, A criterion for the existence of solutions of non-linear elliptic boundary value problems, Proc. Roy. Soc. Edinburgh 74 (1975), 49-54.
7. G. Duvaut and J. L. Lions, "Inequalities in Mechanics and Physics," Springer-Verlag, Berlin, 1976.
8. D. Gilbarg and N. S. Trudinger, "Elliptic Partial Differential Equations of Second Order," Springer-Verlag, Berlin, 1983.
9. S. Heikkilä and V. Lakshmikantham, "Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations," Marcel Dekker, New York, 1994.
10. A. Kufner, O. John and S. Fuĉik, "Function Spaces," Noordhoff International, Leyden, 1977.
11. M. Miettinen and P. D. Panagiotopoulos, On parabolic hemivariational inequalities and applications, Nonlinear Anal. 35 (1998), 885-915.
12. V. Mustonen, Mappings of monotone type: Theory and applications, in "Nonlinear Analysis, Function Spaces and Applications IV, Proceedings of the International Spring School," pp. 104-126, Teubner, 1990.
13. Z. Naniewicz and P. D. Panagiotopoulos, "Mathematical Theory of Hemivariational Inequalities and Applications," Dekker, New York, 1995.
14. P. D. Panagiotopoulos, "Inequality Problems in Mechanics and Applications: Convex and Nonconvex Energy Functions," Birkhäuser Verlag, Boston, 1985.
15. P. D. Panagiotopoulos, Hemivariational inequalities and their applications, in "Topics in Nonsmooth Mechanics" (J. J. Moreau, P. D. Panagiotopoulos, and G. Strang, Eds.), pp. 75-142, Birkhäuser Verlag, Basel, 1988.
16. P. D. Panagiotopoulos, "Hemivariational Inequalities and Applications in Mechanics and Engineering," Springer-Verlag, New York, 1993.
17. R. E. Showalter, "Monotone operators in Banach spaces and nonlinear partial differential equations," Mathematical Surveys and Monographs, Vol. 49, Amer. Math. Soc., Providence, 1997.
18. E. Zeidler, "Nonlinear Functional Analysis and Its Applications III: Variational Methods and Optimization," Springer-Verlag, New York, 1985.