Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator

In this work, we are concerned with a generalized Steklov problem with ( ), ))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s three critical points theorem.

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Bibliographische Detailangaben
Veröffentlicht in:	Moroccan journal of pure and applied analysis 2022-01, Vol.8 (1), p.44-53
Hauptverfasser:	Karim, Belhadj, Lakhdi, A., Ammi, M. R. Sidi, Zerouali, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	35J60 35J65 47J30 58E05 Critical points theorem Variable exponents Variational methods
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this work, we are concerned with a generalized Steklov problem with ( ), ))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s three critical points theorem.
ISSN:	2351-8227 2351-8227
DOI:	10.2478/mjpaa-2022-0004