Multiplicity of solutions to fourth-order superlinear elliptic problems under Navier conditions

Date

2017-07-05

Authors

da Silva, Edcarlos Domingos
Cavalcante, Thiago Rodrigues

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Fourth order elliptic problems, Variational methods, Multiplicity of solutions, Superlinear elliptic problems, Nonquadraticity condition

Citation

da Silva, E. D., & Cavalcante, T. R. (2017). Multiplicity of solutions to fourth-order superlinear elliptic problems under Navier conditions. <i>Electronic Journal of Differential Equations, 2017</i>(167), pp. 1-16.

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Attribution 4.0 International

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