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Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation

Research output: Contribution to a Journal (Peer & Non Peer)Articlepeer-review

Abstract

In this paper, we get the existence of two positive solutions for a fourth-order problem with Navier boundary condition. Our nonlinearity has a critical growth, and the method is a local minimum theorem obtained by Bonanno.

Original languageEnglish
Pages (from-to)227-240
Number of pages14
JournalNonlinear Analysis: Modelling and Control
Volume26
Issue number2
DOIs
Publication statusPublished - 2021

Keywords

  • Biharmonic operator
  • Critical growth
  • Local minimum
  • Variational methods

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