Modulus of curve families and extremality of spiral-stretch maps
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- Balogh, Z.M., Fässler, K. & Platis, I.D. JAMA (2011) 113: 265. doi:10.1007/s11854-011-0007-x
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We develop a method using the modulus of curve families to study minimisation problems for the mean distortion functional in the class of finite distortion homeomorphisms. We apply our method to prove extremality of the spiral-stretch mappings defined on annuli in the complex plane. This generalises results of Gutlyanskiĭ and Martio  and Strebel .