Martin GYao C2024-07-282024-07-282022-12-23Martin G, Yao C. (2022). Extremal mappings of finite distortion and the Radon–Riesz property. Revista Matematica Iberoamericana. 38. 7. (pp. 2057-2068).0213-2230https://mro.massey.ac.nz/handle/10179/71127We consider Sobolev mappings f ∈ W 1;q(Ω; C), 1 < q < ∞, between planar domains Ω ⊂ ℂ. We analyse the Radon–Riesz property for polyconvex functionals of the form (Formula presented) and show that under certain criteria, which hold in important cases, weak convergence in Wloc1;q.(Ω) of (for instance) a minimising sequence can be improved to strong convergence. This finds important applications in the minimisation problems for mappings of finite distortion and the Lp and Exp-Teichmüller theories.© 2022 Real Sociedad Matemática EspañolaCC BY 4.0https://creativecommons.org/licenses/by/4.0/Quasiconformalfinite distortionextremal mappingscalculus of variationJournal article10.4171/RMI/13792235-0616journal-article2057-2068