Edcarlos D. da Silva, Thiago Rodrigues Cavalcante
Abstract:
We establish the existence and multiplicity of solutions for a class of
fourth-order superlinear elliptic problems under Navier conditions
on the boundary. Here we do not use the Ambrosetti-Rabinowitz condition;
instead we assume that the nonlinear term is a nonlinear function which
is nonquadratic at infinity.
Submitted March 1, 2017. Published July 5, 2017.
Math Subject Classifications: 35J20, 35J25, 35J50.
Key Words: Fourth order elliptic problems; variational methods;
multiplicity of solutions; superlinear elliptic problems;
nonquadraticity condition.
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Edcarlos Domingos da Silva Universidade Federal de Goiás IME, Caixa Postal 131 CEP: 74001-970, Goiânia - GO, Brazil email: edcarlos@ufg.br | |
Thiago Rodrigues Cavalcante Universidade Federal de Goiáas IME, Caixa Postal 131 CEP: 74001-970, Goiânia - GO, Brazil email: thiagocavalcantegyn@gmail.com |
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