Some properties of the first eigenvalue of the $p(x)$-laplacian on riemannian manifolds

Some properties of the first eigenvalue of the $p(x)$-laplacian on riemannian manifolds

The main result of the present paper establishes a stability property of the first eigenvalue of the associated problem which deals with the p(x)-Laplacian on Riemannian manifolds with Dirichlet boundary condition.

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Veröffentlicht in:Turkish journal of mathematics 2009-01, Vol.33 (4), p.351-358
Hauptverfasser: MASHIYEV, R. A., ALİSOY, GULİZAR, OGRAS, SEZAİ
Format: Artikel
Sprache:eng
Schlagworte:
Dirichlet boundary condition
Dirichlet sınır koşulları
eigenvalue
Kararlılık
Laplace dönüşümü
Laplace transformation
Lebesgue space
Lebesgue uzayı
Matematik
Mathematics
Riemann manifoldu
Riemannian manifold
Sobolev space
Sobolev uzayı
stability
Özdeğer
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Beschreibung
Zusammenfassung:The main result of the present paper establishes a stability property of the first eigenvalue of the associated problem which deals with the p(x)-Laplacian on Riemannian manifolds with Dirichlet boundary condition.
ISSN:1303-6149
1300-0098
1303-6149
DOI:10.3906/mat-0806-13