Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary

Autor:	Luca Battaglia, Aleks Jevnikar, Zhi-An Wang, Wen Yang
Přispěvatelé:	Battaglia, L., Jevnikar, A., Wang, Z. -A., Yang, W.
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs Differential Geometry (math.DG) Variational methods Applied Mathematics FOS: Mathematics 35J20 58J32 Prescribed Gaussian curvature Conformal metrics Conical singularities Geodesic boundary Analysis of PDEs (math.AP)
Zdroj:	Annali di Matematica Pura ed Applicata (1923 -). 202:1173-1185
ISSN:	1618-1891 0373-3114
Popis:	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 $$2\pi$$ 2 π .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f02f1ab80273d7e3204c285ed735da47 https://doi.org/10.1007/s10231-022-01274-y Zobrazit plný text záznamu Full text from SpringerLink