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

Elliptic Equations with Nonlinear Boundary Conditions
by
M. N. Nkashama
Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294-1170
Coauthors: Nsoki Mavinga

We will present existence and non-existence results for second order elliptic partial differential equations with nonlinear boundary conditions. The nonlinearity on the boundary interacts in sense with the first eigenvalue of the Steklov spectrum. Our approach is based on a priori estimates and topological degree arguments, and a connection with variational arguments will also be established.

Date received: September 28, 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-46.