Eigenvalues homogenization for the fractional $p-$ Laplacian operator

preprint2015arXivOpen access

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

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Eigenvalues homogenization for the fractional $p-$ Laplacian operator

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Eigenvalues homogenization for the fractional $p-$ Laplacian operator