Periodic operators over a component domain and homogenization of some class of quasi-linear elliptic problems in two-component domain with interfacial resistance
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911381139226624 |
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| author | Maza, Rodolfo E. |
| author_facet | Maza, Rodolfo E. |
| contents | This paper addresses the periodic homogenization of quasilinear elliptic PDEs in a two-component domain with an interfacial thermal barrier. It introduces a periodic extension operator that ensures strong convergence of function sequences in the Sobolev space. Moreover, two families of quasilinear elliptic problems in two-component domains with interfacial resistance will be considered here. One family with \(L^2\) data and another family with \(L^1\) data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14944 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Periodic operators over a component domain and homogenization of some class of quasi-linear elliptic problems in two-component domain with interfacial resistance Maza, Rodolfo E. Analysis of PDEs 35B27 \sep 35J65 \sep 35R05 \sep 82B24 This paper addresses the periodic homogenization of quasilinear elliptic PDEs in a two-component domain with an interfacial thermal barrier. It introduces a periodic extension operator that ensures strong convergence of function sequences in the Sobolev space. Moreover, two families of quasilinear elliptic problems in two-component domains with interfacial resistance will be considered here. One family with \(L^2\) data and another family with \(L^1\) data. |
| title | Periodic operators over a component domain and homogenization of some class of quasi-linear elliptic problems in two-component domain with interfacial resistance |
| topic | Analysis of PDEs 35B27 \sep 35J65 \sep 35R05 \sep 82B24 |
| url | https://arxiv.org/abs/2505.14944 |