Dirichlet to Neumann functional and the group of disc's biholomorphic trasformations

DOI10.1007/S11565-012-0172-6zbMath1300.30048OpenAlexW2017585339MaRDI QIDQ467142

Jacqueline Rojas, Ramón Mendoza, Pedro Gómez

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-012-0172-6

zbMATH Keywords

biholomorphic automorphismsDirichlet-Neumann functional

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32)

Cites Work

• Unnamed Item
• The Schwarzian derivative for harmonic mappings
• Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves
• Conformal uniqueness results in anisotropic electrical impedance imaging
• Uniqueness for the Dirichlet–Neumann elliptic functional
• Determining anisotropic real-analytic conductivities by boundary measurements

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