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arXiv · 2408.09170

Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents

Sabri Bahrouni·Julian Fernandez Bonder·Ignacio Ceresa Dussel·Olimpio Miyagaki
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Abstract

In this paper, our primary objective is to develop the peridynamic fractional Sobolev space and establish novel BBM-type results associated with it. We also address the peridynamic fractional anisotropic $p-$Laplacian. A secondary objective is to explore anisotropic fractional Sobolev spaces with variable exponents, where we also derive new BBM-type results. Additionally, we address the eigenvalue problem in the isotropic case.

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Sabri Bahrouni, Julian Fernandez Bonder, Ignacio Ceresa Dussel, Olimpio Miyagaki. 2024-08-17. Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents. https://arxiv.org/abs/2408.09170

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