Quasilinear elliptic equations with discontinuous nonlinearities in Rn

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 3, 1997, Pages 1743-1751

  Carl, S ^a  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

Author keywords

Discontinuous elliptic equations; Fixed point principles in partially ordered sets; Locally convex space; Quasilinear elliptic operators; Unbounded domain

Indexed keywords

EID: 0000637928     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00275-1     Document Type: Article

References (16)

1. AMBROSETTI A. & BADIALE M., The dual variational principle and elliptic problems with discontinuous nonlinearities, J. Math. Anal. Appl. 140, 363-373 (1989).
2. AMBROSETTI A. & TURNER R. E. L., Some discontinuous variational problems, Differential and Integral Equations 1, 341-349 (1988).
3. ANANE A., Simplicité et isolation de la première valeur propre du p-Laplacian avec poids, C.R. Acad. Sci. Paris, Ser.I 305, 725-728 (1987).
4. ARCOYA D. & CALAHORRANO M., Some discontinuous problems with a quasilinear operator, J. Math. Anal. Appl. 187, 1059-1072 (1994).
5. BADIALE M., Critical exponent and discontinuous nonlinearities, Differential and Integral Equations 6, 1173-1185 (1993).
6. N with discontinuous nonlinearities, Rendiconti Sem. Mat. Modena (to appear).
7. N, submitted.
8. CARL S., HEIKKILÄ S. & LAKSHMIKANTHAM V., Nonlinear elliptic differential inclusions governed by state-dependent subdifferentials, Nonlinear Anal. 25, 729-745 (1995).
9. CHANG K.C., Variational methods for nondifferentiable functionals and their applications to partial differential equations, J. Math. Anal. Appl. 80, 102-129 (1981).
10. CHANG K.C., Free boundary value problems and set-valued mappings, J. Differential Equations 49, 1-28 (1983).
11. CLARKE F.H., Generalized gradients and applications, Trans. Amer. Math. Soc. 205, 247-262 (1975).
12. HEIKKILÄ S. & LAKSHMIKANTHAM V., Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations, Marcel Dekker, New York, 1994.
13. MARANO S.A., Elliptic boundary-value problems with discontinuous nonlinearities, Set-Valued Analysis (to appear).
14. PAO C.V., Nonlinear elliptic boundary-value problems in unbounded domains, Nonlinear Anal. 18, 759-774 (1992).
15. STUART C.A., Maximal and minimal solutions of elliptic differential equations with discontinuous nonlinearities, Math. Z. 163, 239-249 (1978).
16. STUART C.A. & TOLAND J.F., A variational method for boundary value problems with discontinuous nonlinearities, J. London Math. Soc. 21, 319-328 (1980).