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Small perturbations of nonlocal biharmonic problems with variable exponent and competing nonlinearities
Journal article   Peer reviewed

Small perturbations of nonlocal biharmonic problems with variable exponent and competing nonlinearities

Khaled Kefi and Vicentiu D. Radulescu
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Vol.29(3), pp.439-463
01/01/2018
DOI: https://doi.org/10.4171/RLM/816

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The present paper deals with the analysis of combined effects of an absorption term and a small perturbation of the reaction term in a poxthorn-biharmonic Kirchhoff problem with Navier boundary condition. The main result in this work establishes the existence of a continuous spectrum consisting in an interval. The proofs combine variational methods with energy estimates.

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