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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3349| Title: | Comments on the Green’s function of a planar domain |
| Authors: | BORAH, DIGANTA Haridas, Pranav Verma, Kaushal Dept. of Mathematics |
| Keywords: | Greens function Critical points Capactity metric Geodesics Curvature Furnishes quantitative boundary 2018 |
| Issue Date: | Sep-2018 |
| Publisher: | Springer Nature |
| Citation: | Analysis and Mathematical Physics, 8(3), 383-414. |
| Abstract: | We study several quantities associated to the Green’s function of a multiply connected domain in the complex plane. Among them are some intrinsic properties such as geodesics, curvature, and 𝐿2-cohomology of the capacity metric and critical points of the Green’s function. The principal idea used is an affine scaling of the domain that furnishes quantitative boundary behaviour of the Green’s function and related objects. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/3349 https://doi.org/10.1007/s13324-017-0177-5 |
| ISSN: | 1664-2368 1664-235X |
| Appears in Collections: | JOURNAL ARTICLES |
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