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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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Existence of many positive non-radial solutions for a superlinear Dirichlet problem on thin annuli.
by
Marcel B. Finan
University of Texas at San Antonio
Coauthors: Alfonso Castro

The question of existence of many positive nonradial solutions of semilinear elliptic equations on an annulus in RN has been studied by many authors, namely, by Coffman (1987), Li (1990), Lin (1993), and Wang (1996). Results have been established for N=2 and N >= 4, leaving the case N=3 open. In this talk we prove the existence of many positive nonradial solutions for any N >= 2.

Date received: April 3, 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-56.