Nikos Katzourakis

activity

20182026

most citedOn isosupremic vectorial minimisation problems in

L^{\infty}

with general nonlinear constraints

1 citations · 1 across the 9 of their papers we have counts for

collaborators

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18 papers · 1 filter

math.AP2026

An introduction to the vectorial Calculus of Variations in $L^{\infty}$ AND Aronsson PDE systems

Hussien Abugirda, Nikos Katzourakis

In this expository article, which is partially based on the lecture notes of a short course delivered by the second appearing author, we introduce the subfield of the Calculus of V…

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

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 $W^{k, \infty} (Ω, R^{N})$ satisfy a maximum principle of the form $$ \max_{\overline…

math.AP2026

On General Linear Degenerate Elliptic PDE Systems

Nikos Katzourakis, Frederick Temple

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

math.AP2025

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 $Ω ⋐ R^{n}$ 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\…

An introduction to the vectorial Calculus of Variations in L∞ AND Aronsson PDE systems

Generalised higher order vectorial ∞-eigenvalue problems

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

On General Linear Degenerate Elliptic PDE Systems

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

An introduction to the vectorial Calculus of Variations in $L^{\infty}$ AND Aronsson PDE systems

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