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.

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

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