On planar Beltrami equations and Hoelder regularity
| dc.creator | Ricciardi, Tonia | |
| dc.date | 2006-12-15 | |
| dc.date.accessioned | 2026-07-07T07:35:22Z | |
| dc.date.available | 2026-07-07T07:35:22Z | |
| dc.description | We provide estimates for the Hölder exponent of solutions to the Beltrami equation $\dbar f=μ\de f+ν\bar{\de f}$, where the Beltrami coefficients $μ,ν$ satisfy $\||μ|+|ν|\|_\infty<1$ and $\Im(ν)=0$. Our estimates depend on the arguments of the Beltrami coefficients as well as on their moduli. Furthermore, we exhibit a class of mappings of the ``angular stretching" type, on which our estimates are actually attained, and we discuss the main properties of such mappings. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612438 | |
| dc.identifier | http://arxiv.org/abs/math/0612438 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120070 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 30C62; 35J25 | |
| dc.title | On planar Beltrami equations and Hoelder regularity | |
| dc.type | text |