On Multiple Solutions for Multivalued Elliptic Equations under Navier Boundary Conditions

C. O. Alves; J. Abrantes Santos; J. V. A. Goncalves

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Elliptic resonant problems
multiple solutions
non-smooth functionals

Mathematics Subject Classification

35D05, 35J20

Suggested citation

C. O. Alves, J. Abrantes Santos, J. V. A. Goncalves. “On Multiple Solutions for Multivalued Elliptic Equations under Navier Boundary Conditions.” Journal of Convex Analysis 18 (2011), No. 3, 627–644.