Anderson L. A. de Araujo, Luiz F. O. Faria
Abstract:
In this article we prove the existence of positive solutions
of nonlinear singular biharmonic elliptic systems in smooth bounded domains,
with coupling of the equations, under Navier boundary condition.
Under some suitable assumptions on the nonlinearity, we prove a uniqueness
result. The existence result is based on the Schauder's fixed point theorem.
Submitted March 22, 2016. Published July 6, 2016.
Math Subject Classifications: 35B09, 35B45, 35J58, 35J75.
Key Words: Biharmonic operator; singular nonlinearity; Green function;
Schauder's fixed point theorem.
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Anderson L. A. de Araujo Departamento de Matem´tica Universidade Federal de Viçosa CEP 36570-900 Viçosa Minas Gerais, Brazil email: anderson.araujo@ufv.br |
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Luiz F. O. Faria Departamento de Matem´tica - ICE Universidade Federal de Juiz de Fora CEP 36036-330 Juiz de Fora Minas Gerais, Brazil email: luiz.faria@ufjf.edu.br |
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