Behaviour of kernel functions under homotopic variations of planar domains

DOI10.1007/BF03321070zbMath1157.30302MaRDI QIDQ558482

Eric D. Schippers

Publication date: 6 July 2005

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

Green's functionBergman kernelHadamard variation

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Kernel functions in one complex variable and applications (30C40)

Related Items (5)

The Loewner and Hadamard variations ⋮ Variation of Neumann and Green functions under homotopies of the boundary ⋮ On existence of Becker extension ⋮ On a Model for a Sliding Droplet: Well-posedness and Stability of Translating Circular Solutions ⋮ The Gaussian free field and Hadamard's variational formula

Cites Work

• Conformal invariants and higher-order Schwarz lemmas
• A perturbation method in conformal mapping
• Behavior of the riemann mapping function under complex analytic deformations of the domain
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