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

Authors

R. A. MASHIYEV
GULİZAR ALİSOY
SEZAİ OGRAS

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.

DOI

10.3906/mat-0806-13

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, G, & OGRAS, S (2009). Some properties of the first eigenvalue of the $p(x)$-laplacian on riemannian manifolds. Turkish Journal of Mathematics 33 (4): 351-358. https://doi.org/10.3906/mat-0806-13