Journals / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 4

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

Pages
351–358
DOI
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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.

Özet

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.