14 citations · 15 across the 4 of their papers we have counts for
4 papers
Explicit formulas for Glaeser-Whitney extensions of 1-fields in Hilbert spaces
Aris Daniilidis, Mounir Haddou, Erwan Le Gruyer +1
We give a simple alternative proof for the --convex extension problem which has been introduced and studied by D. Azagra and C. Mudarra [2]. As an application, we obtain a…
Kirszbraun extension on connected finite graph
Erwan Le Gruyer, Thanh Viet Phan
We prove that the tight function introduced Sheffield and Smart (2012) is a Kirszbraun extension. In the real-valued case we prove that Kirszbraun extension is unique. Moreover, we…
Some results of the Lipschitz constant of 1-Field on
Erwan Y. Le Gruyer, Thanh Viet Phan
We study the relations between the Lipschitz constant of -field and the Lipschitz constant of the gradient canonically associated with this -field. Moreover, we produce two e…
A general theorem of existence of quasi absolutely minimal Lipschitz extensions
Matthew J. Hirn, Erwan Le Gruyer
In this paper we consider a wide class of generalized Lipschitz extension problems and the corresponding problem of finding absolutely minimal Lipschitz extensions. We prove that i…