A local Hölder estimate of ( K 1, K 2)-quasiconformal mappings between hypersurfaces
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605461201 | ||
| 003 | CHVBK | ||
| 005 | 20210128100242.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150901xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-3519-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3519-y | ||
| 100 | 1 | |a Zheng |D Shen |u Department of Mathematics, Beijing Jiaotong University, 100044, Beijing, P. R. China |4 aut | |
| 245 | 1 | 2 | |a A local Hölder estimate of ( K 1, K 2)-quasiconformal mappings between hypersurfaces |h [Elektronische Daten] |c [Shen Zheng] |
| 520 | 3 | |a In this paper, we prove a local Hölder estimate of (K 1,K 2)-quasiconformal mappings between n-dimensional hypersurfaces of R n+1 under an assumption of bounded mean curvature of the original hypersurface M. With some new ingredients of the isoperimetric inequality and the co-area formula on manifolds, we extend Simon's work of quasiconformal mappings on surfaces of ℝ3 to the setting of n-dimensional hypersurfaces of ℝ n+1. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a ( K 1, K 2)-quasiconformal mappings |2 nationallicence | |
| 690 | 7 | |a isoperimetric inequality |2 nationallicence | |
| 690 | 7 | |a co-area formula |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1379-1390 |x 1439-8516 |q 31:9<1379 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3519-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3519-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Zheng |D Shen |u Department of Mathematics, Beijing Jiaotong University, 100044, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1379-1390 |x 1439-8516 |q 31:9<1379 |1 2015 |2 31 |o 10114 | ||