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

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2023, Vol.24 (2), p.829-839
Hauptverfasser: Khodabakhshi, Mehdi, Vaezpour, Seyyed Mansour, Hadjian, Armin
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Boundary conditions
Critical point
Variational methods
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2023.4073