STABILITY OF WEAKLY ALMOST CONFORMAL-MAPPINGS

Authors
YAN BS ZHOU ZF
Citation
Bs. Yan et Zf. Zhou, STABILITY OF WEAKLY ALMOST CONFORMAL-MAPPINGS, Proceedings of the American Mathematical Society, 126(2), 1998, pp. 481-489
Citations number
21
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
2
Year of publication
1998
Pages
481 - 489
Database
ISI
SICI code
0002-9939(1998)126:2<481:SOWAC>2.0.ZU;2-6
Abstract
We prove a stability of weakly almost conformal mappings in W-1,W-p(Om ega; R-n) for p not too far below the dimension n by studying the W-1, W-p-quasiconvex hull of the set C-n of conformal matrices. The study i s based on coercivity estimates from the nonlinear Hedge decomposition s and reverse Holder inequalities from the Ekeland variational princip le.