Minimax principles for critical-point theory in applications to quasilinear boundary-value problems

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 th...

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Bibliographic Details
Main Authors: A. R. El Amrouss, M. Moussaoui
Format: Article
Language:English
Published: Texas State University 2000-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/18/abstr.html