Electron. J. Diff. Eqns., Vol. 2000(2000), No. 18, pp. 1-9.
### Minimax principles for critical-point theory in applications
to quasilinear boundary-value problems

A. R. El Amrouss & M. Moussaoui

**Abstract:**

Using the variational method developed by the same author in [7], we
establish the existence of solutions to the equation
with Dirichlet boundary conditions. Here
denotes the p-Laplacian and
is assumed to lie between the first two eigenvalues of the p-Laplacian.
Submitted September 9, 1999. Published March 8, 2000.

Math Subject Classifications: 49J35, 35J65, 35B34.

Key Words: Minimax methods, p-Laplacian, resonance.

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A. R. El Amrouss & M. Moussaoui

University Mohamed I

Faculty of sciences

Department of Mathematics

Oujda, Moroco

e-mail: amrouss@sciences.univ-oujda.ac.ma

e-mail: moussaoui@sciences.univ-oujda.ac.ma

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