Some properties of the first eigenvalue of the $p(x)$-laplacian on riemannian manifolds
R.A. Mashiyev, Gülizar Alisoy, Sezai Ogras · TURKISH JOURNAL OF MATHEMATICS · 2009
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.