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http://hdl.handle.net/10397/99148
| Title: | Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary | Authors: | Battaglia, L Jevnikar, A Wang, ZA Yang, W |
Issue Date: | Jun-2023 | Source: | Annali di matematica pura ed applicata, June 2023, v. 202, no. 3, p. 1173-1185 | Abstract: | We study conformal metrics with prescribed Gaussian curvature on surfaces with conical singularities and geodesic boundary in supercritical regimes. Exploiting a variational argument, we derive a general existence result for surfaces with at least two boundary components. This seems to be the first result in this setting. Moreover, we allow to have conical singularities with both positive and negative orders, that is cone angles both less and greater than 2 π. | Keywords: | Conformal metrics Conical singularities Geodesic boundary Prescribed Gaussian curvature Variational methods |
Publisher: | Springer | Journal: | Annali di matematica pura ed applicata | ISSN: | 0373-3114 | EISSN: | 1618-1891 | DOI: | 10.1007/s10231-022-01274-y | Rights: | © The Author(s) 2022 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. The following publication Battaglia, L., Jevnikar, A., Wang, ZA. et al. Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary. Annali di Matematica 202, 1173–1185 (2023) is available at https://doi.org/10.1007/s10231-022-01274-y. |
| Appears in Collections: | Journal/Magazine Article |
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| s10231-022-01274-y.pdf | 1.36 MB | Adobe PDF | View/Open |
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