Variation of Neumann and Green functions under homotopies of the boundary |
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| Authors: | Eric Schippers and Wolfgang Staubach |
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| Affiliation: | (1) Department of Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka 560–8531, Japan |
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| Abstract: | We develop variational formulas for certain Neumann and Green functions of multiply connected planar domains, valid for any smooth homotopy of the boundary. The modified Neumann and Green functions under consideration arise in the study of holomorphic functions with single-valued primitives. |
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