| Title:
|
On Neumann elliptic problems with discontinuous nonlinearities (English) |
| Author:
|
Halidias, Nikolaos |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
25-31 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study a class of nonlinear Neumann elliptic problems with discontinuous nonlinearities. We examine elliptic problems with multivalued boundary conditions involving the subdifferential of a locally Lipschitz function in the sense of Clarke. (English) |
| Keyword:
|
Neumann elliptic problems |
| Keyword:
|
variational method |
| Keyword:
|
locally Lipschitz functional |
| Keyword:
|
p-Laplacian |
| MSC:
|
35J15 |
| MSC:
|
35J20 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 1090.35517 |
| idMR:
|
MR1822760 |
| . |
| Date available:
|
2008-06-06T22:28:07Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107782 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/107882 |
| . |
| Reference:
|
[1] Ambrosetti A., Badiale M.: The dual variational principle and elliptic problems with discontinuous nonlinearities.J. Math. Anal. Appl. 140 (1989), No. 2, 363–273. Zbl 0687.35033, MR 1001862 |
| Reference:
|
[2] Arcoya D., Calahorrano M.: Some discontinuous problems with a quasilinear operator.J. Math. Anal. Appl. 187 (1994), 1059–1072. Zbl 0815.35018, MR 1298837 |
| Reference:
|
[3] Chang K. C.: Variational methods for non-differentiable functionals and their applications to partial differential equations.J. Math. Anal. Appl. 80 (1981), 102–129. Zbl 0487.49027, MR 0614246 |
| Reference:
|
[4] Clarke F.: Optimization and Nonsmooth Analysis.Wiley, New York (1983). Zbl 0582.49001, MR 0709590 |
| Reference:
|
[5] Heikkila S., Lakshmikantham V.: Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations.Marcel Dekker, 1994. MR 1280028 |
| Reference:
|
[6] Kenmochi N.: Pseudomonotone operators and nonlinear elliptic boundary value problems.J. Math. Soc. Japan 27 (1975), No. 1. Zbl 0292.35034, MR 0372419 |
| Reference:
|
[7] Stuart C. A., Tolland J. F.: A variational method for boundary value problems with discontinuous nonlinearities.J. London Math. Soc. (2), 21 (1980), 319–328. MR 0575391 |
| Reference:
|
[8] Tolksdorff P.: On quasilinear boundary value problems in domains with corners.Nonlinear Anal. 5 (1981), 721–735. MR 0623375 |
| . |
