Topological methods for a nonlinear elliptic system with nonlinear boundary conditions Online publication date: Wed, 02-Sep-2009
by Pablo Amster
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 2, No. 1/2, 2009
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.
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