Geodesic
Keldysh–Lavrentiev counterexample and means of powers of conformal mapping. 1. Construction of a mapping
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 39, Tome 389 (2011), pp. 252-256 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct a region with infinitely many cusps on its boundary such that it is possible to estimate the derivative of a conformal mapping of the unit disk onto this region from below. We use here some ideas taken from a construction of a famous Keldysh–Lavrentiev example. 
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     title = {Keldysh{\textendash}Lavrentiev counterexample and means of powers of conformal mapping. {1.~Construction} of a~mapping},
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H. Hedenmalm; N. A. Shirokov. Keldysh–Lavrentiev counterexample and means of powers of conformal mapping. 1. Construction of a mapping. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 39, Tome 389 (2011), pp. 252-256. http://geodesic.mathdoc.fr/item/ZNSL_2011_389_a13/

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