Minimax Principles for critical-point Theory in Applications to Quasilinear Boundary-value Problems
Date
2000-03-08
Authors
El Amrouss, A. R.
Moussaoui, M.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Using the variational method developed by the same author in [7], we establish the existence of solutions to the equation -∆pu = ƒ(x, u) with Dirichlet boundary conditions. Here ∆p denotes the p-Laplacian and ʃs0 ƒ(x, t) dt is assumed to lie between the first two eigenvalues of the p-Laplacian.
Description
Keywords
Minimax methods, p-Laplacian, Resonance
Citation
El Amrouss, A. R., & Moussaoui, M. (2000). Minimax principles for critical-point theory in applications to quasilinear boundary-value problems. <i>Electronic Journal of Differential Equations, 2000</i>(18), pp. 1-9.
Rights
Attribution 4.0 International