# The Rad\'o-Kneser-Choquet theorem for $p$-harmonic mappings between Riemannian surfaces

@article{Adamowicz2018TheRT, title={The Rad\'o-Kneser-Choquet theorem for \$p\$-harmonic mappings between Riemannian surfaces}, author={T. Adamowicz and J. Jaaskelainen and Aleksis Koski}, journal={arXiv: Analysis of PDEs}, year={2018} }

In the planar setting the Rad\'o-Kneser-Choquet theorem states that a harmonic map from the unit disk onto a Jordan domain bounded by a convex curve is a diffeomorphism provided that the boundary mapping is a homeomorphism. We prove the injectivity criterion of Rad\'o-Kneser-Choquet for $p$-harmonic mappings between Riemannian surfaces.
In our proof of the injecticity criterion we approximate the $p$-harmonic map with auxiliary mappings that solve uniformly elliptic systems. We prove that each… CONTINUE READING

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