On the existence of solutions of quasilinear Beltrami equations with two characteristics
UDC 517.5 We study Beltrami-type equations with two given complex characteristics. Under certain conditions imposed on the complex coefficients, we prove theorems on the existence of homeomorphic ACL-solutions of this equation. In addition, under some relatively weak conditions, we establish theorem...
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| Date: | 2022 |
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| Main Authors: | , , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2022
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7088 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.5
We study Beltrami-type equations with two given complex characteristics. Under certain conditions imposed on the complex coefficients, we prove theorems on the existence of homeomorphic ACL-solutions of this equation. In addition, under some relatively weak conditions, we establish theorems on the existence of the corresponding continuous ACL-solutions of this equation that are logarithmic Hölder continuous in a given domain. ¨ |
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| DOI: | 10.37863/umzh.v74i7.7088 |