Fourth-order Navier boundary value problem with combined nonlinearities

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Abstract

Existence and multiplicity of solutions are proved for the fourth-order Navier boundary value problem with indefinite nonlinearity by using the least action principle, the Ekeland variational principle and the mountain pass theorem.

Keywords

Fourth-order Navier boundary value problem
The least action principle
The Ekeland variational principle
Mountain pass theorem

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Supported by the National Natural Science Foundation of China (No. 11071198).