19 citations · 116 across the 42 of their papers we have counts for
4 papers · 1 filter
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…
The Eigenvalue Problem for the -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…
On the numerical approximation of -Biharmonic and -Biharmonic functions
Nikos Katzourakis, Tristan Pryer
In [KP16] (arXiv:1605.07880) the authors introduced a second-order variational problem in . The associated equation, coined the -Bilaplacian, is a \emph{third o…
Existence, Uniqueness and Structure of Second Order absolute minimisers
Nikos Katzourakis, Roger Moser
Let be a bounded open set. In this paper we prove the existence of a unique second order absolute minimiser of the functional \[ \mat…