Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods
In this paper we prove the existence of nonnegative nontrivial solutions of the system with nonlinear coupling through the boundary given byunder suitable assumptions on the nonlinear terms f and g. For the proof we use a fixed-point argument and the key ingredient is a Liouville type theorem for a...
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2001
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10799389_v6_n1_p1_Bonder http://hdl.handle.net/20.500.12110/paper_10799389_v6_n1_p1_Bonder |
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| Sumario: | In this paper we prove the existence of nonnegative nontrivial solutions of the system with nonlinear coupling through the boundary given byunder suitable assumptions on the nonlinear terms f and g. For the proof we use a fixed-point argument and the key ingredient is a Liouville type theorem for a system of Laplace equations with nonlinear coupling through the boundary of power type in the half space. |
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