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Fourth International Conference on Dynamic Systems and Applications
May 21-24, 2003
Department of Mathematics, Morehouse College
Atlanta, GA, USA

Organizers
M. Sambandham

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A Multiplicity Result for a Semilinear Indefinite Problem via Perturbation Arguments
by
Paola Magrone
Dipartimento di matematica, Universita' di Roma Tor Vergata, Italia
Coauthors: Silvia Mataloni, Univ. of Rome III, Italy

We discuss a result of multiplicity for a semilinear elliptic problem, with Dirichlet boundary conditions, where the nonlinearity changes sign, is odd, and has superlinear (subcritical growth). The functional associated is not simmetric because of the presence of a L2 term which destroies the simmetry. The solutions are found by applying a simmetric version of the Mountain Pass theorem by Ambrosetti and Rabinowitz.

Date received: January 20, 2003

Copyright © 2003 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 # cajw-81.