Article ID Journal Published Year Pages File Type
4618852 Journal of Mathematical Analysis and Applications 2011 15 Pages PDF
Abstract

We study the weighted Fermat–Torricelli (w.F-T) problem for geodesic triangles on a C2 complete surface and on an Aleksandrov space of curvature bounded above by a real number K and solve an “inverse” problem on a C2 complete surface. The solution of the w.F-T problem and the inverse w.F-T problem on a C2 complete surface is based on the differentiation of the length of geodesics with respect to the arc length.

Related Topics
Physical Sciences and Engineering Mathematics Analysis