Eun Heui Kim
Abstract:
In this paper we establish the existence of positive solutions
to a system of steady-state Neumann boundary problems.
This system has been observed in some biological experiments,
morphogen gradients; effects of Decapentaplegic (Dpp) and
short gastrulation (Sog). Mathematical difficulties arise
from this system being nonquasimonotone and semilinear.
We overcome such difficulties by using the fixed point iteration
via upper-lower solution methods.
We also discuss an example, the Dpp-Sog system, of such problems.
Submitted September 9, 2004. Published June 15, 2005.
Math Subject Classifications: 35J55, 35J45.
Key Words: Elliptic systems; nonquasimonotone; morphogen gradients.
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| Eun Heui Kim Department of Mathematics, California State University Long Beach, CA 90840-1001, USA email: ekim4@csulb.edu tel 562-985-5338 fax 562-985-8227 |
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