On quasilinear Beltrami equations with restrictions on tangential dilatation
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912105035202560 |
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| author | Sevost'yanov, E. O. Targonskii, V. A. Ilkevych, N. S. |
| author_facet | Sevost'yanov, E. O. Targonskii, V. A. Ilkevych, N. S. |
| contents | We study quasilinear Beltrami equations, the complex coefficients of which depend on the unknown function. In terms of the so-called tangential dilatation, we have found conditions under which these equations have homeomorphic $ACL$-solutions. Sepa\-ra\-tely, we have found some conditions that ensure the existence of the corresponding con\-ti\-nuous $ACL$-solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15084 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On quasilinear Beltrami equations with restrictions on tangential dilatation Sevost'yanov, E. O. Targonskii, V. A. Ilkevych, N. S. Complex Variables 30C65 We study quasilinear Beltrami equations, the complex coefficients of which depend on the unknown function. In terms of the so-called tangential dilatation, we have found conditions under which these equations have homeomorphic $ACL$-solutions. Sepa\-ra\-tely, we have found some conditions that ensure the existence of the corresponding con\-ti\-nuous $ACL$-solutions. |
| title | On quasilinear Beltrami equations with restrictions on tangential dilatation |
| topic | Complex Variables 30C65 |
| url | https://arxiv.org/abs/2402.15084 |