Journal of Convex Analysis 18 (2011), No. 3, 627--644
Copyright Heldermann Verlag 2011
On Multiple Solutions for Multivalued Elliptic Equations under Navier Boundary Conditions
C. O. Alves
Universidade Federal de Campina Grande, Dep. de Matemática e Estatística, 58109-970 Campina Grande (PB), Brasil
coalves@dme.ufcg.edu.br
J. Abrantes Santos
Universidade de Brasilia, Dep. de Matemática, 70910-900 Brasília(DF), Brasil
jeffer.abrantes@gmail.com
J. V. A. Goncalves
Universidade Federal de Goiás, Instituto de Matemática e Estatística, 74001-970 Goiania (GO), Brasil
jv@mat.unb.br
We employ variational methods for non-smooth functionals to show existence of multiple solutions for multivalued fourth order elliptic equations under Navier boundary conditions. Our main result extends similar ones known for the Laplacian.
Keywords: Elliptic resonant problems, multiple solutions, non-smooth functionals.
MSC: 35D05, 35J20
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