Title: Topological methods for a nonlinear elliptic system with nonlinear boundary conditions

Authors: Pablo Amster

Addresses: Departamento de Matematica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, (1428) Buenos Aires, Argentina; Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Argentina

Abstract: A nonlinear elliptic second order system with a nonlinear boundary condition is studied. We prove an existence result under a Hartman type condition. Moreover, assuming appropriate conditions of Nirenberg type, we prove the existence of solutions applying topological degree theory.

Keywords: Leray-Schauder degree; nonlinear elliptic systems; nonlinear boundary conditions; topological degree theory.

DOI: 10.1504/IJDSDE.2009.028035

International Journal of Dynamical Systems and Differential Equations, 2009 Vol.2 No.1/2, pp.56 - 65

Published online: 02 Sep 2009 *

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