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

DOI10.1112/JLMS/JDM095zbMath1167.30014arXiv0708.4001OpenAlexW2046468372MaRDI QIDQ5450619

Oliver Roth, Daniela Kraus

Publication date: 13 March 2008

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.4001

zbMATH Keywords

Blaschke productsBlaschke sequencesSchwarz-Picard problemBerger-Nirenberg problembuilding holomorphic mapsLiouville representation theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (6)

Maximal Blaschke products ⋮ Beurling's free boundary value problem in conformal geometry ⋮ Minimal degree rational open up mappings and related questions ⋮ Finite Blaschke products with prescribed critical points, Stieltjes polynomials, and moment problems ⋮ Prescribing inner parts of derivatives of inner functions ⋮ Critical Points, the Gauss Curvature Equation and Blaschke Products

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