Existence of Weak Solutions for A Class of Nonuniformly Nonlinear Elliptic Equations of $p$-Laplacian Type

Existence of Weak Solutions for A Class of Nonuniformly Nonlinear Elliptic Equations of $p$-Laplacian Type

The goal of this paper is to study the existence of non-trivial weak solutions for the nonuniformly nonlinear elliptic equation in an unbounded domain. The solution will be obtained in a subspace of the Sobolev space and the proofs rely essentially on a variation of the mountain pass theorem.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in Mathematics and Applications 2011-01, Vol.2 (1), p.21-28
Hauptverfasser: Afrouzi, G. A., Naghizadeh, Z., Mirzadeh, F.
Format: Artikel
Sprache:eng
Schlagworte:
Elliptic functions
Mountains
Sobolev space
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The goal of this paper is to study the existence of non-trivial weak solutions for the nonuniformly nonlinear elliptic equation in an unbounded domain. The solution will be obtained in a subspace of the Sobolev space and the proofs rely essentially on a variation of the mountain pass theorem.
ISSN:0976-5905
0975-8607
DOI:10.26713/cma.v2i1.129