Variation of the Green's function due to quasiconformal distortion of the region

DOI10.1007/BF00251603zbMath0349.30014OpenAlexW1980155366MaRDI QIDQ1234780

Alexia Sontag

Publication date: 1975

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251603

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Quasiconformal mappings in the complex plane (30C62)

Related Items

Vortex flows on closed surfaces

Cites Work

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• The boundary correspondence under quasiconformal mappings
• Riemann's mapping theorem for variable metrics
• Boundary correspondence under quasiconformal mappings
• The theory of the second variation in extremum problems for univalent functions
• Convexity of domain functionals
• Rings and Quasiconformal Mappings in Space
• Variation of the Green Function and Theory of the p-Valued Functions
• Hadamard's Formula and Variation of Domain-Functions