Infinitely many weak solutions for fourth-order equations depending on two parameters

Infinitely many weak solutions for fourth-order equations depending on two parameters

In this paper, by employing Ricceri variational principle, we prove the existence of infinitely many weak solutions for fourth-order problems depending on two real parameters. We also provide some particular cases and a concrete example in order to illustrate the main abstract results of this paper.

Bibliographic Details
Main Authors: Saeid Shokooh, Ghasem A. Afrouzi, Hossain Zahmatkesh
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2018-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Ricceri variational principle
infinitely many solutions
fourth-order equations
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31997
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spelling doaj-9bd22252cfbb483abd32e6c09a1d0d4f2020-11-24T20:58:41ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882018-10-0136413114710.5269/bspm.v36i4.3199715691Infinitely many weak solutions for fourth-order equations depending on two parametersSaeid Shokooh0Ghasem A. Afrouzi1Hossain Zahmatkesh2Gonbad Kavous UniversityMazandaran UniversityIslamic Azad UniversityIn this paper, by employing Ricceri variational principle, we prove the existence of infinitely many weak solutions for fourth-order problems depending on two real parameters. We also provide some particular cases and a concrete example in order to illustrate the main abstract results of this paper.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31997Ricceri variational principleinfinitely many solutionsfourth-order equations
collection DOAJ
language English
format Article
sources DOAJ
author Saeid Shokooh
Ghasem A. Afrouzi
Hossain Zahmatkesh
spellingShingle Saeid Shokooh
Ghasem A. Afrouzi
Hossain Zahmatkesh
Infinitely many weak solutions for fourth-order equations depending on two parameters
Boletim da Sociedade Paranaense de Matemática
Ricceri variational principle
infinitely many solutions
fourth-order equations
author_facet Saeid Shokooh
Ghasem A. Afrouzi
Hossain Zahmatkesh
author_sort Saeid Shokooh
title Infinitely many weak solutions for fourth-order equations depending on two parameters
title_short Infinitely many weak solutions for fourth-order equations depending on two parameters
title_full Infinitely many weak solutions for fourth-order equations depending on two parameters
title_fullStr Infinitely many weak solutions for fourth-order equations depending on two parameters
title_full_unstemmed Infinitely many weak solutions for fourth-order equations depending on two parameters
title_sort infinitely many weak solutions for fourth-order equations depending on two parameters
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2018-10-01
description In this paper, by employing Ricceri variational principle, we prove the existence of infinitely many weak solutions for fourth-order problems depending on two real parameters. We also provide some particular cases and a concrete example in order to illustrate the main abstract results of this paper.
topic Ricceri variational principle
infinitely many solutions
fourth-order equations
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31997
work_keys_str_mv AT saeidshokooh infinitelymanyweaksolutionsforfourthorderequationsdependingontwoparameters
AT ghasemaafrouzi infinitelymanyweaksolutionsforfourthorderequationsdependingontwoparameters
AT hossainzahmatkesh infinitelymanyweaksolutionsforfourthorderequationsdependingontwoparameters
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