Paulo C. Carriao, Luiz F. O. Faria, Olimpio H. Miyagaki
Abstract:
We study the existence of solutions for nonlinear biharmonic
equations that depend on the gradient and the Laplacian, under
Navier boundary condition.
Our main tools are an iterative scheme of the mountain pass
"aproximated" solutions, and the truncation method developed
by de Figueiredo, Girardi and Matzeu.
Submitted March 22, 2009. Published August 6, 2009.
Math Subject Classifications: 31B30, 35G30, 35J40, 47H15.
Key Words: Biharmonic; Navier boundary condition; truncation techniques;
iteration method.
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Paulo C. Carrião Departamento de Matemática, Universidade Federal de Minas Gerais 31270-010 Belo Horizonte (MG), Brazil email: carrion@mat.ufmg.br |
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Luiz F. O. Faria Departamento de Matemática, Universidade Federal de Juiz de Fora 36036-330 Juiz de Fora (MG), Brazil Universidade Federal de Minas Gerais email: luiz.faria@ufjf.edu.br |
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Olímpio H. Miyagaki Departamento de Matemática, Universidade Federal de Viçosa 36571-000 Viçosa (MG), Brazil email: olimpio@ufv.br |
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