Non-variational extrema of exponential Teichmüller spaces

2019/10/29 by Martin, Gaven, Yao, Cong · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1910.13079

Abstract

The exponential Teichmüller spaces E_p, 0≤ p ≤ ∞, interpolate between the classical Teichmüller space (p=∞) and the space of harmonic diffeomorphisms (p=0). In this article we prove the existence of non-variational critical points for the associated functional: mappings f of the disk whose distortion is p-exponentially integrable, 0

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