15 citations · 33 across the 9 of their papers we have counts for
4 papers · 1 filter
On the numerical approximation of vectorial absolute minimisers in
Nikos Katzourakis, Tristan Pryer
Let be an open set. We consider the supremal functional \[ \tag{1} \label{1} \ \ \ \ \ \ \mathrm{E}_\infty (u,\mathcal{O})\, :=\, \| \mathrm D u \|_{L^\infty( \mathcal{O} )}, \…
Second Order Variational Problems and the -Polylaplacian
Nikos Katzourakis, Tristan Pryer
In this paper we initiate the study of nd order variational problems in , seeking to minimise the norm of a function of the hessian. We also derive and stud…
On the Numerical Approximation of -Harmonic Mappings
Nikos Katzourakis, Tristan Pryer
Given a map , the -Laplacian is the system \[ \label{1} Δ_\infty u \, :=\, \Big(\text{D}u \otimes \text{D}u + |\te…
A review from the PDE viewpoint of Hamilton-Jacobi-Bellman Equations Arising in Optimal Control with Vectorial Cost
Nikos Katzourakis, Tristan Pryer
This paper is a review of results on Optimisation which are perhaps not so standard in the PDE realm. To this end, we consider the problem of deriving the PDEs associated to the op…