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20072023
most citedCritical points of inner functions, nonlinear partial differential equations, and an extension of Liouville's theorem

14 citations · 44 across the 24 of their papers we have counts for

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Showing 2014Show all

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math.CV2014

The theorems of Schottky and Landau for analytic functions omitting the n-th roots of unity

Daniela Kraus, Oliver Roth

We prove sharp Landau- and Schottky-type theorems for analytic functions which omit the -th roots of unity. The proofs are based on a sharp lower bound for the Poincaré metric o…

math.CV2014

Pontryagin's maximum principle for the Loewner equation in higher dimensions

Oliver Roth

In this paper we develop a variational method for the Loewner equation in higher dimensions. As a result we obtain a version of Pontryagin's maximum principle from optimal control…