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

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Showing 2017 · math.APShow all

3 papers · 2 filters

math.AP2017

Rigidity and flatness of the image of certain classes of mappings having tangential Laplacian

Hussien Abugirda, Birzhan Ayanbayev, Nikos Katzourakis

In this paper we consider the PDE system of vanishing normal projection of the Laplacian for $C^{2}$ maps $u : R^{n} \supseteq Ω ⟶ R^{N}$ : \[ [\![\mathrm{D…

math.AP2017

The Eigenvalue Problem for the $\infty$ -Bilaplacian

Nikos Katzourakis, Enea Parini

We consider the problem of finding and describing minimisers of the Rayleigh quotient \[ Λ_\infty \, :=\, \inf_{u\in \mathcal{W}^{2,\infty}(Ω)\setminus\{0\} }\frac{\|Δu\|_{L^\infty…

math.AP2017★ 18 cited

Existence, Uniqueness and Structure of Second Order absolute minimisers

Nikos Katzourakis, Roger Moser

Let $Ω \subseteq R^{n}$ be a bounded open $C^{1, 1}$ set. In this paper we prove the existence of a unique second order absolute minimiser $u_{\infty}$ of the functional \[ \mat…

Rigidity and flatness of the image of certain classes of mappings having tangential Laplacian

The Eigenvalue Problem for the ∞-Bilaplacian

Existence, Uniqueness and Structure of Second Order absolute minimisers

The Eigenvalue Problem for the $\infty$ -Bilaplacian