Atlas home || Conferences | Abstracts | about Atlas

Southeastern-Atlantic Regional Conference on Differential Equations
October 19-20, 2007
Murray State University
Murray, Kentucky, USA

Organizers
K. Renee Fister, Maeve McCarthy

View Abstracts
Conference Homepage

Nonexistence Results For Classes Of 3x3 Elliptic Systems
by
Jinglong Ye
Mississippi State University
Coauthors: Ratnasingham Shivaji

Abstract

We consider the system
-Du = l f(v, w);  x ∈ W

-Dv = mg(u, w);  x ∈ W

-Dw = sh(u, v);  x ∈ W

u = v = w = 0;  x ∈ ∂W,
where W is a ball in RN, N ≥ 1 and ∂W is its boundary, l, m, s are positive parameters bounded away from zero, and f, g, h are smooth functions that are negative at the origin (semipositone system) and satisfy certain linear growth conditions at infinity. We establish nonexistence of positive solutions when two of the parameters l, m, s are large. Our proofs depend on energy analysis and comparison methods.

Date received: October 1, 2007

Copyright © 2007 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 # cavc-50.