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Eigenvalues homogenization for the fractional p-Laplacian

Eigenvalues homogenization for the fractional \(p\)-Laplacian
Authors: Salort, Ariel Martin;

Eigenvalues homogenization for the fractional p-Laplacian

Abstract

Fil: Salort, Ariel Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina

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

nonlocal, homogenization, fractional laplacian, Estimates of eigenvalues in context of PDEs, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Fractional ordinary differential equations, eigenvalue homogenization, Homogenization in context of PDEs; PDEs in media with periodic structure, nonlinear eigenvalues, order of convergence, fractional p-Laplacian, fractional \(p\)-Laplacian, Eigenvalue homogenization, QA1-939, eigenvalue, https://purl.org/becyt/ford/1.1, https://purl.org/becyt/ford/1, Mathematics

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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