The weighted Fermat–Torricelli problem on a surface and an 'inverse' problem

Autor:	Anastasios N. Zachos, Athanase Cotsiolis
Rok vydání:	2011
Předmět:	Fermat's Last Theorem Surface (mathematics) Geodesic Applied Mathematics Mathematical analysis Inverse Inverse problem Curvature Fermat–Torricelli problem Inverse Fermat–Torricelli problem Arc length Analysis Mathematics Real number
Zdroj:	Journal of Mathematical Analysis and Applications. 373:44-58
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2010.06.029
Popis:	We study the weighted Fermat–Torricelli (w.F-T) problem for geodesic triangles on a C 2 complete surface and on an Aleksandrov space of curvature bounded above by a real number K and solve an “inverse” problem on a C 2 complete surface. The solution of the w.F-T problem and the inverse w.F-T problem on a C 2 complete surface is based on the differentiation of the length of geodesics with respect to the arc length.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb68efdab909abd01add00e750cf0d23 https://doi.org/10.1016/j.jmaa.2010.06.029 Zobrazit plný text záznamu Full Text from ScienceDirect