bibtype	J - Journal Article
ARLID	0641139
utime	20251125075656.6
mtime	20251110235959.9
SCOPUS	105017668030
WOS	001586089800002
DOI	10.1016/j.jfa.2025.111215
title (primary) (eng)	(INV) condition and regularity of the inverse
specification	page_count 40 s. media_type P
serial	ARLID cav_un_epca*0256966 ISSN 0022-1236 title Journal of Functional Analysis volume_id 290 publisher name Elsevier
keyword	Sobolev mapping
keyword	Finite distortion
keyword	(INV) condition
keyword	Inverse mapping
author (primary)	ARLID cav_un_auth*0496610 name1 Doležalová name2 Anna institution UTIA-B full_dept (cz) Matematická teorie rozhodování full_dept (eng) Department of Decision Making Theory department (cz) MTR department (eng) MTR country CZ garant K fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author	ARLID cav_un_auth*0255318 name1 Hencl name2 S. country CZ
author	ARLID cav_un_auth*0496612 name1 Onninen name2 J. country US
source	url https://library.utia.cas.cz/separaty/2025/MTR/dolezalova-0641139.pdf
cas_special	project project_id 334014 agency Research Council of Finland country FI ARLID cav_un_auth*0496615 project project_id DMS-2453853 agency National Science Foundation country US ARLID cav_un_auth*0496616 project project_id GA24-10505S agency GA ČR ARLID cav_un_auth*0497637 project project_id PPLZ L100752451 agency GA AV ČR country CZ ARLID cav_un_auth*0496614 abstract (eng) Let f : Omega -> Omega ' be a Sobolev mapping of finite distortion between planar domains Omega and Omega ', satisfying the (INV) condition and coinciding with a homeomorphism near partial derivative Omega. We show that f admits a generalized inverse mapping h : Omega '-> Omega, which is also a Sobolev mapping of finite distortion and satisfies the (INV) condition. We also establish a higher-dimensional analogue of this result: if a mapping f : Omega -> Omega ' of finite distortion is in the Sobolev class W-1,W-p(Omega,R-n) with p > n-1 and satisfies the (INV) condition, then f has an inverse in W-1,W-1(Omega ', R-n) that is also of finite distortion. Furthermore, we characterize Sobolev mappings satisfying (INV) whose generalized inverses have finite n-harmonic energy. result_subspec WOS RIV BA FORD0 10000 FORD1 10100 FORD2 10101 reportyear 2026 num_of_auth 3 inst_support RVO:67985556 permalink https://hdl.handle.net/11104/0371974 cooperation ARLID cav_un_auth*0496617 name Faculty of Mathematics and Physics, Charles University country CZ cooperation ARLID cav_un_auth*0298179 name University of Jyväskylä country FI cooperation ARLID cav_un_auth*0496618 name Syracuse University country US confidential S article_num 111215 mrcbC91 C mrcbC96 https://arxiv.org/abs/2412.18976 mrcbT16-e MATHEMATICS mrcbT16-f 1.9 mrcbT16-g 0.2 mrcbT16-h 14.4 mrcbT16-i 0.01847 mrcbT16-j 1.625 mrcbT16-k 13833 mrcbT16-q 119 mrcbT16-s 1.958 mrcbT16-y 35.97 mrcbT16-x 1.72 mrcbT16-3 1501 mrcbT16-4 Q1 mrcbT16-5 1.500 mrcbT16-6 315 mrcbT16-7 Q1 mrcbT16-C 89.1 mrcbT16-M 1.35 mrcbT16-N Q1 mrcbT16-P 89.1 arlyear 2026 mrcbU14 105017668030 SCOPUS mrcbU24 PUBMED mrcbU34 001586089800002 WOS mrcbU63 cav_un_epca*0256966 Journal of Functional Analysis 290 1 2026 0022-1236 1096-0783 Elsevier