3 papers
math.AP2026
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…
math.AP2018
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…
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 maps : \[ [\![\mathrm{D…