Title
Modular Eigenvalues of the Dirichlet p(·)-Laplacian and Their Stability
Publication Date
1-1-2011
Document Type
Article
Abstract
The concept of the modular first Dirichlet eigenvalue for the p(·)-Laplacian is introduced as a generalization of the constant case. An important property of the corresponding eigenfunctions is obtained. We prove a qualitative stability result for such eigenvalues in terms of the magnitude of the perturbation of the variable modular exponent p(·).
COinS
Comments
Lang J., Méndez O. (2012) Modular Eigenvalues of the Dirichlet p(·)-Laplacian and Their Stability. In: Brown B., Lang J., Wood I. (eds) Spectral Theory, Function Spaces and Inequalities. Operator Theory: Advances and Applications, vol 219. Springer, Basel