Elliptic problems with discontinuities

Journal of Mathematical Analysis and Applications

Volumn 276, Issue 1, 2002, Pages 13-27

  Halidias, Nikolaos ^a  

^a UNIVERSITY OF THE AEGEAN   (Greece)

Author keywords

Countable number of discontinuities; Critical point theory; Discontinuous nonlinearities; Locally Lipschitz functionals

Indexed keywords

EID: 0036956654     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00254-8     Document Type: Article

References (10)

1. A. Ambrosetti, M. Badiale, The dual variational principle and elliptic problems with discontinuous nonlinearities, J. Math. Anal. Appl. 140 (1989) 363-373.
2. D. Arcoya, M. Calahorrano, Some discontinuous problems with a quasilinear operator, J. Math. Anal. Appl. 187 (1994) 1059-1072.
3. K.C. Chang, Variation methods for non-differentiable functionals and their applications to partial differrential equations, J. Math. Anal. Appl. 80 (1981) 102-129.
4. F. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York, 1983.
5. D.G. Figueiredo, Lectures on the Ekeland Variational Principle with Applications and Detours, Springer-Verlag, Bombay, 1989.
6. D.G. Costa, J.V. Goncalves, Critical point theory for nondifferentiable functionals and applications, J. Math. Anal. Appl. 153, (1990) 470-485.
7. S. Heikkila, V. Lakshikanthan, Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations, Dekker, 1994.
8. p-2x = 0, Proc. Amer. Math. Soc. 109 (1990).
9. N. Kenmochi, Pseudomonotone operators and nonlinear elliptic boundary value problems, J. Math, Soc. Japan 27 (1) (1975).
10. C.A. Stuart, J.F. Tolland, A variational method for boundary value problems with discontinuous nonlinearities, J. London Math. Soc. (2) 21 (1980) 319-328.