On a p(x)-biharmonic Kirchhoff type problem with indefinite weight and no flux boundary condition

Mohamed Talbi ^[1] ; Mohammed Filali ^[2] ; Khalid Soualhine ^[2] ; Najib Tsouli ^[2]
1. [1] CRMEF, Oujda, Morocco
2. [2] Departement of Mathematics, Faculty of Sciences, University Mohamed I, Oujda, Morocco
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 73, Fasc. 2, 2022, págs. 237-252
Idioma: inglés
DOI: 10.1007/s13348-021-00316-7
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Resumen
- In this paper we study the existence and the multiplicity of nontrivial weak solutions for a fourth order variable exponent Kirchhoff type problem involving p(x)-biharmonic operator with changing sign weight and with no flux boundary condition. By using variational approach and the theory of variable exponent Sobolev spaces, we determine an interval of parameters for which this problem admits at least two nontrivial weak solutions.