Solutions of nonlinear problems involving p(x)-Laplacian operator

Solutions of nonlinear problems involving p(x)-Laplacian operator

In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving )-Laplacian. The problem is settled in the variable exponent Sobolev space (Ω), and the main tools are the Mountain-Pass theorem and Fountain theorem.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Advances in nonlinear analysis 2015-11, Vol.4 (4), p.285-293
1. Verfasser: Yücedağ, Zehra
Format: Artikel
Sprache:eng
Schlagworte:
35B30
35D05
35J60
35J70
Fountain theorem
Laplacian
Mountain Pass theorem
nonlocal problem
p(x)-laplacian
variational methods
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving )-Laplacian. The problem is settled in the variable exponent Sobolev space (Ω), and the main tools are the Mountain-Pass theorem and Fountain theorem.
ISSN:2191-9496
2191-950X
DOI:10.1515/anona-2015-0044