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Elliptic Equations with Nonlinear Boundary Conditions
by
M. N. Nkashama
Department of Mathematics, University of Alabama at Birmingham
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 some sense with the eigenvalues of the Steklov spectrum. Our approach is based on a priori estimates, a variational approach and topological degree arguments. This is a joint work with Dr. Nsoki Mavinga of the University of Rochester, NY.
Date received: September 20, 2008
Copyright © 2008 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 # caww-44.