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...
Gespeichert in:
| Datum: | 2022 |
|---|---|
| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2022
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7088 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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. ¨ |
|---|---|
| DOI: | 10.37863/umzh.v74i7.7088 |