Existence of multiple solutions for a class of ( p , q ) -Laplacian systems

We establish the existence and multiplicity of solutions for some ( p , q ) -Laplacian systems. We will show how the multiplicity of solutions change as λ and μ vary. The results are proved by Ekeland’s variational principle, the Mountain pass theorem and the Saddle point theorem.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Nonlinear analysis 2010-03, Vol.72 (5), p.2243-2250
Hauptverfasser:	Afrouzi, G.A., Mahdavi, S., Naghizadeh, Z.
Format:	Artikel
Sprache:	eng
Schlagworte:	[formula omitted]-Laplacian systems Algebra Calculus of variations and optimal control Commutative rings and algebras Ekeland’s variational principle Exact sciences and technology Global analysis, analysis on manifolds Mathematical analysis Mathematics Mountain pass theorem Saddle point theorem Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We establish the existence and multiplicity of solutions for some ( p , q ) -Laplacian systems. We will show how the multiplicity of solutions change as λ and μ vary. The results are proved by Ekeland’s variational principle, the Mountain pass theorem and the Saddle point theorem.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2009.10.024