Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911993166823424 |
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| author | Bahrouni, Sabri Bonder, Julian Fernandez Dussel, Ignacio Ceresa Miyagaki, Olimpio |
| author_facet | Bahrouni, Sabri Bonder, Julian Fernandez Dussel, Ignacio Ceresa Miyagaki, Olimpio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09170 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents Bahrouni, Sabri Bonder, Julian Fernandez Dussel, Ignacio Ceresa Miyagaki, Olimpio Analysis of PDEs 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. |
| title | Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.09170 |