0579645 20260224154159.620231218235959.9 85173461556 001074740400001 10.1017/prm.2023.101 18 s. P cav_un_epca*02575020308-21051552 (2025)496-513Royal Society of Edinburgh nonlinear elasticity local injectivity global injectivity Ciarlet–Nečas condition nonlocal self-repulsion Sobolev–Slobodeckii seminorm cav_un_auth*0359168 Krömer Stefan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR DE 50 Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0460023 Reiter P. DE 50 K http://library.utia.cas.cz/separaty/2024/MTR/kromer-0579645.pdf https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/nonlinear-elasticity-with-vanishing-nonlocal-selfrepulsion/D03EAE49B0E7654D462B27DDC625C8F5 GF21-06569K GA ČR cav_un_auth*0412957 GF19-29646L GA ČR CZ cav_un_auth*0385134 We prove that for nonlinear elastic energies with strong enough energetic control of the outer distortion of admissible deformations, almost everywhere global invertibility as constraint can be obtained in the Γ -limit of the elastic energy with an added nonlocal self-repulsion term with asymptocially vanishing coefficient. The self-repulsion term considered here formally coincides with a Sobolev–Slobodeckiĭ seminorm of the inverse deformation. Variants near the boundary or on the surface of the domain are also studied. WOS BA 10000 10100 10102 2026 2 RVO:67985556 https://hdl.handle.net/11104/0350577 cav_un_auth*0460025 Technische Universität Chemnitz TU Chemnitz DE S C MATHEMATICS.APPLIED|MATHEMATICS 1.2 0.2 16.8 0.00389 0.884 2807 64 1.076 33.04 0.98 375 Q1 0.800 131 Q2 53 0.8 Q2 67.6 2025 85173461556 SCOPUS PUBMED 001074740400001 WOS cav_un_epca*0257502 Proceedings of the Royal Society of Edinburgh. A - Mathematics 155 2 2025 496 513 0308-2105 1473-7124 Royal Society of Edinburgh