Nikos Katzourakis

activity

20242026

collaborators

7 papers

math.AP2026

Generalised higher order vectorial $\infty$ -eigenvalue problems

William Chang, Nikos Katzourakis

We study the problem of minimising the $L^{\infty}$ norm of a function of the $k$ -th derivative over a class of maps, subject to a constraint involving the $L^{\infty}$ norm of a funct…

math.AP2026

On General Linear Degenerate Elliptic PDE Systems

Nikos Katzourakis, Frederick Temple

Let $I^c ◯ ⋐ R^{n}$ be a strictly convex bounded domain. Suppose $A : R^{N n} ⟶ R^{N n}$ , $\mathbf{B}: \mathbb{R}^{Nn} \longrighta…

math.AP2026

Energy maximum principle for vectorial higher order absolute minimisers in $L^{\infty}$ and $L^{p}$

Simone Carano, Nikos Katzourakis, Roger Moser

We show that vectorial absolute minimisers of general $k$ -th order supremal functionals in $W^{k, \infty} (I^c ◯, R^{N})$ satisfy a maximum principle of the form $$ \max_{\overline…

math.AP2026

Existence, uniqueness and characterisation of vector-valued absolute minimisers for a second order $L^{\infty}$ -variational problem

Simone Carano, Nikos Katzourakis, Roger Moser

We study a vectorial $L^{\infty}$ -variational problem of second order, where the supremal functional depends on the vector function $u$ through a linear elliptic operator in divergen…

math.AP2025

On the minimisation of the Peak-to-average ratio

Nikos Katzourakis

Let $I^c ◯ ⋐ R^{n}$ and a continuous function $H$ be given, where $n, k, N \in N$ . For $p \in [1, \infty]$ , we consider the functional \[ \mathrm E_p(u) := \big…

math.AP2025

On Second-Order $L^{\infty}$ Variational Problems with Lower-Order Terms

Ben Dutton, Nikos Katzourakis

In this paper we study $2$ nd order $L^{\infty}$ variational problems, through seeking to minimise a supremal functional involving the Hessian of admissible functions as well as lower…

Generalised higher order vectorial ∞-eigenvalue problems

On General Linear Degenerate Elliptic PDE Systems

Energy maximum principle for vectorial higher order absolute minimisers in L∞ and Lp

Existence, uniqueness and characterisation of vector-valued absolute minimisers for a second order L∞-variational problem

On the minimisation of the Peak-to-average ratio

On Second-Order L∞ Variational Problems with Lower-Order Terms

Generalised higher order vectorial $\infty$ -eigenvalue problems

Energy maximum principle for vectorial higher order absolute minimisers in $L^{\infty}$ and $L^{p}$

Existence, uniqueness and characterisation of vector-valued absolute minimisers for a second order $L^{\infty}$ -variational problem

On Second-Order $L^{\infty}$ Variational Problems with Lower-Order Terms