Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 51, No. 3, pp. 375-393 (1994)

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Symmetric Equilibria for a Beam with a Nonlinear Elastic Foundation

M.R. Grossinho and T.F. Ma

Faculdade de Ciências - Universidade de Lisboa, Departamento de Matemática,
Rua Ernesto de Vasconcelos, Bloco C1, 1700 Lisboa - PORTUGAL
Centro de Matemática e Aplicaç\ oes Fundamentais,
Avenida Prof. Gama Pinto, 2 - 1699 Lisboa Codex - PORTUGAL
and
Departamento de Matemática - Universidade Estadual de Maringá,
Avenida Colombo, 3690, 87020 Maringá-PR - BRAZIL

Abstract: We study the existence of symmetric solutions of a nonlinear fourth order O.D.E. with nonlinear boundary conditions arising in the theory of elastic beams. Variational methods are used, namely, duality, minimization and mountain pass.

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