On Neumann elliptic problems with discontinuous nonlinearities

Nikolaos Halidias

Archivum Mathematicum (2001)

  • Volume: 037, Issue: 1, page 25-31
  • ISSN: 0044-8753

Abstract

top
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.

How to cite

top

Halidias, Nikolaos. "On Neumann elliptic problems with discontinuous nonlinearities." Archivum Mathematicum 037.1 (2001): 25-31. <http://eudml.org/doc/248753>.

@article{Halidias2001,
abstract = {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.},
author = {Halidias, Nikolaos},
journal = {Archivum Mathematicum},
keywords = {Neumann elliptic problems; variational method; locally Lipschitz functional; p-Laplacian; Neumann elliptic problems; variational method; locally Lipschitz functional; -Laplacian},
language = {eng},
number = {1},
pages = {25-31},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On Neumann elliptic problems with discontinuous nonlinearities},
url = {http://eudml.org/doc/248753},
volume = {037},
year = {2001},
}

TY - JOUR
AU - Halidias, Nikolaos
TI - On Neumann elliptic problems with discontinuous nonlinearities
JO - Archivum Mathematicum
PY - 2001
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 037
IS - 1
SP - 25
EP - 31
AB - 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.
LA - eng
KW - Neumann elliptic problems; variational method; locally Lipschitz functional; p-Laplacian; Neumann elliptic problems; variational method; locally Lipschitz functional; -Laplacian
UR - http://eudml.org/doc/248753
ER -

References

top
  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. (1989) Zbl0687.35033MR1001862
  2. Arcoya D., Calahorrano M., Some discontinuous problems with a quasilinear operator, J. Math. Anal. Appl. 187 (1994), 1059–1072. (1994) Zbl0815.35018MR1298837
  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. (1981) Zbl0487.49027MR0614246
  4. Clarke F., Optimization and Nonsmooth Analysis, Wiley, New York (1983). (1983) Zbl0582.49001MR0709590
  5. Heikkila S., Lakshmikantham V., Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations, Marcel Dekker, 1994. (1994) MR1280028
  6. Kenmochi N., Pseudomonotone operators and nonlinear elliptic boundary value problems, J. Math. Soc. Japan 27 (1975), No. 1. (1975) Zbl0292.35034MR0372419
  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. (1980) MR0575391
  8. Tolksdorff P., On quasilinear boundary value problems in domains with corners, Nonlinear Anal. 5 (1981), 721–735. (1981) MR0623375

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.