A1 Journal article (refereed)
The Radó-Kneser-Choquet theorem for p-harmonic mappings between Riemannian surfaces (2020)
Adamowicz, T., Jääskeläinen, J., & Koski, A. (2020). The Radó-Kneser-Choquet theorem for p-harmonic mappings between Riemannian surfaces. Revista Matematica Iberoamericana, 36(6), 1779-1834. https://doi.org/10.4171/rmi/1183
JYU authors or editors
Publication details
All authors or editors: Adamowicz, Tomasz; Jääskeläinen, Jarmo; Koski, Aleksis
Journal or series: Revista Matematica Iberoamericana
ISSN: 0213-2230
eISSN: 2235-0616
Publication year: 2020
Volume: 36
Issue number: 6
Pages range: 1779-1834
Publisher: European Mathematical Society Publishing House
Publication country: Switzerland
Publication language: English
DOI: https://doi.org/10.4171/rmi/1183
Publication open access: Not open
Publication channel open access:
Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/68367
Publication is parallel published: https://arxiv.org/abs/1806.03020
Abstract
In our proof of the injectivity criterion we approximate the p-harmonic map with auxiliary mappings that solve uniformly elliptic systems. We prove that each auxiliary mapping has a positive Jacobian by a homotopy argument. We keep the maps injective all the way through the homotopy with the help of the minimum principle for a certain subharmonic expression that is related to the Jacobian.
Keywords: Jacobians
Free keywords: curvature; Jacobian; maximum principle; p-harmonic mappings; Riemannian surface; subharmonicity; univalent
Contributing organizations
Related projects
- Nonlinear Elliptic Equations, Quasiharmonic Fields, and the Range of the Differential
- Jääskeläinen, Jarmo
- Research Council of Finland
- InvProbGeomPDE Inverse Problems in Partial Differential Equations and Geometry
- Salo, Mikko
- European Commission
Ministry reporting: Yes
Reporting Year: 2020
JUFO rating: 2
