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. V. A. Goncalves

Universidade Federal de Goiás, Instituto de Matemática e Estatística, 74001-970 Goiania (GO), Brasil
and: Universidade de Brasilia-MAT

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. https://doi.org/10.68381/jca18040

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Published by Heldermann Verlag, 2011. Rights now held by Banach Press.