Extremal mappings of finite distortion and the Radon–Riesz property

  • Gaven J. Martin

    Massey University, Auckland, New Zealand
  • Cong Yao

    Massey University, Auckland, New Zealand
Extremal mappings of finite distortion and the Radon–Riesz property cover
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Abstract

We consider Sobolev mappings , , between planar domains . We analyse the Radon–Riesz property for polyconvex functionals of the form

and show that under certain criteria, which hold in important cases, weak convergence in 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 and Exp-Teichmüller theories.

Cite this article

Gaven J. Martin, Cong Yao, Extremal mappings of finite distortion and the Radon–Riesz property. Rev. Mat. Iberoam. 38 (2022), no. 7, pp. 2057–2068

DOI 10.4171/RMI/1379