2 citations · 2 across the 4 of their papers we have counts for
4 papers
When is the inverse of an invertible convex function itself convex?
Robert Planqué
We provide a sufficient condition for an invertible (locally strongly) convex vector-valued function on to have a (locally strongly) convex inverse. We show under su…
Sobolev regularity and an enhanced Jensen inequality
Mark A. Peletier, Robert Planqué, Matthias Röger
We derive a new criterion for a real-valued function to be in the Sobolev space . This criterion consists of comparing the value of a functional with…
Self-contact for rods on cylinders
G. H. M. van der Heijden, M. A. Peletier, R. Planqué
We study self-contact phenomena in elastic rods that are constrained to lie on a cylinder. By choosing a particular set of variables to describe the rod centerline the variational…
A consistent treatment of link and writhe for open rods, and their relation to end rotation
Gert H. M. van der Heijden, Mark A. Peletier, Robert Planqué
We combine and extend the work of Alexander & Antman \cite{alexander.82} and Fuller \cite{fuller.71,fuller.78} to give a framework within which precise definitions can be given of…