Regularity of Finite Energy Deformations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911758130610176 |
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| author | Rosenblatt, Daniel |
| author_facet | Rosenblatt, Daniel |
| contents | We review results of {Š}verák, and Goldstein-Hajłasz-Pakzad on how to show the continuity of functions in a critical Sobolev space with positive Jacobian. In the final chapter we expand on the theory of $VMO$ functions, showing a version of the change of variables theorem in this regularity, which generalizes the first step in {Š}verák's proof to a co-dimension 1 case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06253 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of Finite Energy Deformations Rosenblatt, Daniel Analysis of PDEs Mathematical Physics Functional Analysis We review results of {Š}verák, and Goldstein-Hajłasz-Pakzad on how to show the continuity of functions in a critical Sobolev space with positive Jacobian. In the final chapter we expand on the theory of $VMO$ functions, showing a version of the change of variables theorem in this regularity, which generalizes the first step in {Š}verák's proof to a co-dimension 1 case. |
| title | Regularity of Finite Energy Deformations |
| topic | Analysis of PDEs Mathematical Physics Functional Analysis |
| url | https://arxiv.org/abs/2401.06253 |