Nikos Katzourakis

activity

20072026

most citedAbsolutely Minimising Generalised Solutions to the Equations of Vectorial Calculus of Variations in

L^{\infty}

19 citations · 116 across the 42 of their papers we have counts for

collaborators

Showing 2016Show all

5 papers · 1 filter

math.AP2016★ 6 cited

A Pointwise Characterisation of the PDE System of Vectorial Calculus of Variations in $L^{\infty}$

Birzhan Ayanbayev, Nikos Katzourakis

Let $n, N \in N$ with $Ω \subseteq R^{n}$ open. Given $H \in C^{2} (Ω \times R^{N} \times R^{N n}),$ we consider the functional \[ \tag{1} \label{1} E_\infty…

math.AP2016★ 15 cited

Second Order $L^{\infty}$ Variational Problems and the $\infty$ -Polylaplacian

Nikos Katzourakis, Tristan Pryer

In this paper we initiate the study of $2$ nd order variational problems in $L^{\infty}$ , seeking to minimise the $L^{\infty}$ norm of a function of the hessian. We also derive and stud…

math.AP2016★ 8 cited

$D$ -solutions to the system of vectorial Calculus of Variations in $L^{\infty}$ via the singular value problem

Gisella Croce, Nikos Katzourakis, Giovanni Pisante

For $H \in C^{2} (R^{N \times n})$ and $u : Ω \subseteq R^{n} \to R^{N}$ , consider the system \[ \label{1}\mathrm{A}\_\infty u\, :=\,\Big(\mathrm{H}\_P…

math.AP2016

Existence of 1D vectorial Absolute Minimisers in $L^{\infty}$ under minimal assumptions

Hussien Abugirda, Nikos Katzourakis

We prove the existence of vectorial Absolute Minimisers in the sense of Aronsson to the supremal functional $E_{\infty} (u, Ω^{'}) = ∥ L (\cdot, u, D u) ∥_{L^{\infty} (Ω^{'})}$ , $Ω'\Subs…

math.AP2016★ 3 cited

Solutions of Vectorial Hamilton-Jacobi Equations are Rank-One Absolute Minimisers in $L^{\infty}$

Nikos Katzourakis

Given the supremal functional $E_{\infty} (u, Ω^{'}) = ess sup_{Ω^{'}} H (\cdot, D u)$ defined on $W_{l oc}^{1, \infty} (Ω, R^{N})$ , $Ω^{'} ⋐ Ω \subseteq R^{n}$ , we identify a clas…

A Pointwise Characterisation of the PDE System of Vectorial Calculus of Variations in L∞

Second Order L∞ Variational Problems and the ∞-Polylaplacian

D-solutions to the system of vectorial Calculus of Variations in L∞ via the singular value problem

Existence of 1D vectorial Absolute Minimisers in L∞ under minimal assumptions

Solutions of Vectorial Hamilton-Jacobi Equations are Rank-One Absolute Minimisers in L∞

A Pointwise Characterisation of the PDE System of Vectorial Calculus of Variations in $L^{\infty}$

Second Order $L^{\infty}$ Variational Problems and the $\infty$ -Polylaplacian

$D$ -solutions to the system of vectorial Calculus of Variations in $L^{\infty}$ via the singular value problem

Existence of 1D vectorial Absolute Minimisers in $L^{\infty}$ under minimal assumptions

Solutions of Vectorial Hamilton-Jacobi Equations are Rank-One Absolute Minimisers in $L^{\infty}$