11 citations · 31 across the 5 of their papers we have counts for
5 papers
The Parametric Willmore Flow
Francesco Palmurella, Tristan Rivière
We establish a minimal positive existence time of the parametric Willmore flow for any smooth initial data (smooth immersion of a closed oriented surface). The minimal existence ti…
The Parametric Approach to the Willmore Flow
Francesco Palmurella, Tristan Rivière
We introduce a parametric framework for the study of Willmore gradient flows which enables to consider a general class of weak, energy-level solutions and opens the possibility to…
Third order open mapping theorems and applications to the end-point map
Francesco Boarotto, Roberto Monti, Francesco Palmurella
This paper is devoted to a third order study of the end-point map in sub-Riemannian geometry. We first prove third order open mapping results for maps from a Banach space into a fi…
A Resolution of the Poisson Problem for Elastic Plates
Francesca Da Lio, Francesco Palmurella, Tristan Rivière
The Poisson problem consists in finding an immersed surface minimising Germain's elastic energy (known as Willmore energy in geometry) with prescribed bounda…
Remarks on Neumann boundary problems involving Jacobians
Francesca Da Lio, Francesco Palmurella
In this short note we explore the validity of Wente-type estimates for Neumann boundary problems involving Jacobians. We show in particular that such estimates do not in general ho…