Existence of two weak solutions for some elliptic problems involving p(x)-biharmonic operator

In this paper, we establish the existence of at least two distinct weak solutions for fourth-order PDEs with variable exponents, subject to Navier boundary conditions in a smooth bounded domain in RN. under a suitable subcritical growth condition with the classical Ambrosetti-Rabinowitz condition. T...

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Bibliographic Details
Published inMathematical notes (Miskolci Egyetem (Hungary)) Vol. 24; no. 2; pp. 829 - 839
Main Authors Khodabakhshi, Mehdi, Vaezpour, Seyyed Mansour, Hadjian, Armin
Format Journal Article
LanguageEnglish
Published Miskolc University of Miskolc 2023
Subjects
Banach spaces
Boundary conditions
Critical point
Variational methods
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ISSN1787-2405
1787-2413
DOI10.18514/MMN.2023.4073

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Summary:In this paper, we establish the existence of at least two distinct weak solutions for fourth-order PDEs with variable exponents, subject to Navier boundary conditions in a smooth bounded domain in RN. under a suitable subcritical growth condition with the classical Ambrosetti-Rabinowitz condition. The approach is based on variational methods and critical point theory.
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ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2023.4073