Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 18, pp. 1-9.
Title: Minimax principles for critical-point theory in applications
to quasilinear boundary-value problems
Authors: A. R. El Amrouss (Univ. Mohamed I, Oujda, Moroco)
M. Moussaoui (Univ. Mohamed I, Oujda, Moroco)
Abstract:
Using the variational method developed by the same author in [7], we
establish the existence of solutions to the equation
$-\Delta_p u = f(x,u)$
with Dirichlet boundary conditions.
Here $\Delta_p$ denotes the p-Laplacian and $\int_0^s f(x,t)\,dt$ 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.