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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Resonance Problems for the p-Laplacian
by
Stephen B. Robinson
Wake Forest University
Coauthors: Pavel Drabek (University of West Bohemia)

We consider resonance problems at an arbitrary eigenvalue of the p-Laplacian, and prove the existence of weak solutions assuming a standard Landesman-Lazer condition. We use variational arguments to characterize certain eigenvalues and then to establish the solvability of the given boundary value problem. One interesting feature of the result is that it does not require a complete characterization of the spectrum of the p-Laplacian. Such a characterization is not known for p =/= 2.

Mathematics Subject Classification: 35J65, 35J20

Date received: March 23, 1999

Copyright © 1999 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 # cacr-18.