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

Authors

R. A. MASHIYEV
GULİZAR ALİSOY
SEZAİ OGRAS

DOI

10.3906/mat-0806-13

Abstract

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.

Keywords

Variable exponent Lebesgue and Sobolev spaces; first eigenvalue; Riemannian manifolds; $p(x)$-Laplacian.

First Page

351

Last Page

358

Recommended Citation

MASHIYEV, R. A.; ALİSOY, GULİZAR; and OGRAS, SEZAİ (2009) "Some properties of the first eigenvalue of the $p(x)$-laplacian on riemannian manifolds," Turkish Journal of Mathematics: Vol. 33: No. 4, Article 5. https://doi.org/10.3906/mat-0806-13
Available at: https://journals.tubitak.gov.tr/math/vol33/iss4/5