| Title:
|
Finite distortion functions and Douglas-Dirichlet functionals (English) |
| Author:
|
Shi, Qingtian |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
183-195 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we estimate the Douglas-Dirichlet functionals of harmonic mappings, namely Euclidean harmonic mapping and flat harmonic mapping, by using the extremal dilatation of finite distortion functions with given boundary value on the unit circle. In addition, $\bar {\partial }$-Dirichlet functionals of harmonic mappings are also investigated. (English) |
| Keyword:
|
Douglas-Dirichlet functional |
| Keyword:
|
$\rho $-harmonic mapping |
| Keyword:
|
finite distortion functions |
| Keyword:
|
extremal quasiconformal mapping |
| Keyword:
|
Dirichlet's principle |
| MSC:
|
30C62 |
| MSC:
|
30C70 |
| MSC:
|
31A05 |
| idZBL:
|
Zbl 07088778 |
| idMR:
|
MR3923583 |
| DOI:
|
10.21136/CMJ.2018.0238-17 |
| . |
| Date available:
|
2019-03-08T14:59:43Z |
| Last updated:
|
2021-04-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147626 |
| . |
| Reference:
|
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