Sequences of weak solutions to a fourth-order elliptic problem

This paper contains some results of existence of infinitely many solutions to an elliptic equation involving the p(x)-biharmonic operator coupled with Navier boundary conditions where the nonlinearities depend on two real parameters and do not possess any symmetric property. The approach is variatio...

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Main Author: Filippo Cammaroto
Format: Article
Language:English
Published: Accademia Peloritana dei Pericolanti 2020-12-01
Series:Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Online Access: http://dx.doi.org/10.1478/AAPP.98S2A3
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author Filippo Cammaroto
author_facet Filippo Cammaroto
author_sort Filippo Cammaroto
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description This paper contains some results of existence of infinitely many solutions to an elliptic equation involving the p(x)-biharmonic operator coupled with Navier boundary conditions where the nonlinearities depend on two real parameters and do not possess any symmetric property. The approach is variational and the main tool is an abstract result of Ricceri.
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spelling doaj.art-3f96a499bce847e3852da4e3177ca2202022-12-21T22:21:20ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422020-12-0198S2A310.1478/AAPP.98S2A3AAPP.98S2A3Sequences of weak solutions to a fourth-order elliptic problemFilippo CammarotoThis paper contains some results of existence of infinitely many solutions to an elliptic equation involving the p(x)-biharmonic operator coupled with Navier boundary conditions where the nonlinearities depend on two real parameters and do not possess any symmetric property. The approach is variational and the main tool is an abstract result of Ricceri. http://dx.doi.org/10.1478/AAPP.98S2A3
spellingShingle Filippo Cammaroto
Sequences of weak solutions to a fourth-order elliptic problem
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
title Sequences of weak solutions to a fourth-order elliptic problem
title_full Sequences of weak solutions to a fourth-order elliptic problem
title_fullStr Sequences of weak solutions to a fourth-order elliptic problem
title_full_unstemmed Sequences of weak solutions to a fourth-order elliptic problem
title_short Sequences of weak solutions to a fourth-order elliptic problem
title_sort sequences of weak solutions to a fourth order elliptic problem
url http://dx.doi.org/10.1478/AAPP.98S2A3
work_keys_str_mv AT filippocammaroto sequencesofweaksolutionstoafourthorderellipticproblem