Eigenvalues homogenization for the fractional p-Laplacian

Abstract

In this work we study the homogenization for eigenvalues of the fractional p-Laplace operator in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order of the convergence rates when periodic weights are considered.

Keywords

• Eigenvalue homogenization
• nonlinear eigenvalues
• order of convergence
• fractional p-Laplacian