6533b83afe1ef96bd12a7850

RESEARCH PRODUCT

A note to “Mappings of finite distortion: formation of cusps II”

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We consider planar homeomorphisms f : R 2 → R 2 f\colon \mathbb {R}^2\to \mathbb {R}^2 that are of finite distortion and map the unit disk onto a specific cusp domain  Ω s \Omega _s . We study the relation between the degree  s s of the cusp and the integrability of the distortion function  K f K_f by sharpening a previous result where  K f K_f is assumed to be locally exponentially integrable.