0641139 20260213094722.620251110235959.9 105017668030 001586089800002 10.1016/j.jfa.2025.111215 40 s. P cav_un_epca*02569660022-1236290Elsevier Sobolev mapping Finite distortion (INV) condition Inverse mapping cav_un_auth*0496610 Doležalová Anna UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR CZ K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0255318 Hencl S. CZ cav_un_auth*0496612 Onninen J. US https://library.utia.cas.cz/separaty/2025/MTR/dolezalova-0641139.pdf 334014 Research Council of Finland FI cav_un_auth*0496615 DMS-2453853 National Science Foundation US cav_un_auth*0496616 GA24-10505S GA ČR cav_un_auth*0497637 L100752451 GA AV ČR CZ cav_un_auth*0496614 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. 2027 BA WOS 10000 10100 10101 3 RVO:67985556 https://hdl.handle.net/11104/0371974 cav_un_auth*0496617 Faculty of Mathematics and Physics, Charles University CZ cav_un_auth*0298179 University of Jyväskylä FI cav_un_auth*0496618 Syracuse University US S 111215 C https://arxiv.org/abs/2412.18976 MATHEMATICS 1.9 0.2 14.4 0.01845 1.625 13833 119 1.958 35.97 1.72 1501 Q1 1.500 315 Q1 89.3 1.35 Q1 89.3 2026 105017668030 SCOPUS PUBMED 001586089800002 WOS cav_un_epca*0256966 Journal of Functional Analysis 290 1 2026 0022-1236 1096-0783 Elsevier