Geodesic
Hölder and Lipschitz continuity in Orlicz-Sobolev classes, distortion and harmonic mappings
Filomat, Tome 36 (2022) no. 16, p. 5359

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this article, we consider the Hölder continuity of injective maps in Orlicz-Sobolev classes defined on the unit ball. Under certain conditions on the growth of dilatations, we obtain the Hölder continuity of the indicated class of mappings. In particular, under certain special restrictions, we show that Lipschitz continuity of mappings holds. We also consider Hölder and Lipschitz continuity of harmonic mappings and in particular of harmonic mappings in Orlicz-Sobolev classes. In addition in planar case, we show in some situations that the map is bi-Lipschitzian if Beltrami coefficient is Hölder continuous.
DOI : 10.2298/FIL2216359M
Classification : 30C65, 31A15, 31B25
Keywords: Quasiconformal mappings, Hölder and Lipschitz continuity, harmonic mappings 
Miodrag Mateljević; Ruslan Salimov; Evgeny Sevostyanov. Hölder and Lipschitz continuity in Orlicz-Sobolev classes, distortion and harmonic mappings. Filomat, Tome 36 (2022) no. 16, p. 5359 . doi: 10.2298/FIL2216359M
@article{10_2298_FIL2216359M,
     author = {Miodrag Mateljevi\'c and Ruslan Salimov and Evgeny Sevostyanov},
     title = {H\"older and {Lipschitz} continuity in {Orlicz-Sobolev} classes, distortion and harmonic mappings},
     journal = {Filomat},
     pages = {5359 },
     year = {2022},
     volume = {36},
     number = {16},
     doi = {10.2298/FIL2216359M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2216359M/}
}
TY  - JOUR
AU  - Miodrag Mateljević
AU  - Ruslan Salimov
AU  - Evgeny Sevostyanov
TI  - Hölder and Lipschitz continuity in Orlicz-Sobolev classes, distortion and harmonic mappings
JO  - Filomat
PY  - 2022
SP  - 5359 
VL  - 36
IS  - 16
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2216359M/
DO  - 10.2298/FIL2216359M
LA  - en
ID  - 10_2298_FIL2216359M
ER  - 
%0 Journal Article
%A Miodrag Mateljević
%A Ruslan Salimov
%A Evgeny Sevostyanov
%T Hölder and Lipschitz continuity in Orlicz-Sobolev classes, distortion and harmonic mappings
%J Filomat
%D 2022
%P 5359 
%V 36
%N 16
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2216359M/
%R 10.2298/FIL2216359M
%G en
%F 10_2298_FIL2216359M

Cité par Sources :