Atlas home || Conferences | Abstracts | about Atlas

Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms
June 5-8, 2002
Northern Arizona University
Flagstaff, AZ, USA

Organizers
John M. Neuberger, NAU, James W. Swift, NAU, Ratnasingham, Shivaji, MSU

View Abstracts
Conference Homepage

Quasilinear Eigenvalue Problems
by
Stephen B Robinson
Wake Forest University

Consider the nonlinear eigenvalue problem
Qu-\lambda  f(u)=0 in \Omega, Ñu·\nu = 0 on \partial\Omega,
where Q is a quasilinear operator generalizing the p-Laplacian, and f(u) is a continuous function generalizing |u|p-2u. The essential differences are that Q and f are not necessarily homogeneous or symmetric. After examining an elementary example in some detail, we characterize the second eigenvalue for this problem, and discuss applications to resonance problems.

Date received: April 22, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caio-09.