5 papers · 1 filter
An introduction to the vectorial Calculus of Variations in 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…
Phase separation of n dimensional infinity Harmonic mappings
Hussien Abugirda
Among other interesting results, in a recent paper, Katzourakis analysed the phenomenon of separation of the solutions to the infinity Laplace system to phases with qualitatively d…
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 maps : \[ [\![\mathrm{D…
Existence of 1D vectorial Absolute Minimisers in under minimal assumptions
Hussien Abugirda, Nikos Katzourakis
We prove the existence of vectorial Absolute Minimisers in the sense of Aronsson to the supremal functional , $Ω'\Subs…
On the Well-Posedness of Global Fully Nonlinear First Order Elliptic Systems
Hussien Abugirda, Nikos Katzourakis
In the very recent paper [K1], the second author proved that for any , the fully nonlinear first order system is we…