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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10799389_v6_n1_p1_Bonder |
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todo:paper_10799389_v6_n1_p1_Bonder2023-10-03T16:03:43Z Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods Bonder, J.F. Rossi, J.D. 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. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10799389_v6_n1_p1_Bonder |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Bonder, J.F. Rossi, J.D. |
| spellingShingle |
Bonder, J.F. Rossi, J.D. Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods |
| author_facet |
Bonder, J.F. Rossi, J.D. |
| author_sort |
Bonder, J.F. |
| title |
Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods |
| title_short |
Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods |
| title_full |
Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods |
| title_fullStr |
Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods |
| title_full_unstemmed |
Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods |
| title_sort |
existence for an elliptic system with nonlinear boundary conditions via fixed-point methods |
| url |
http://hdl.handle.net/20.500.12110/paper_10799389_v6_n1_p1_Bonder |
| work_keys_str_mv |
AT bonderjf existenceforanellipticsystemwithnonlinearboundaryconditionsviafixedpointmethods AT rossijd existenceforanellipticsystemwithnonlinearboundaryconditionsviafixedpointmethods |
| _version_ |
1807322951726399488 |