Nicholas Katzourakis

most citedOn the structure of

\infty

-Harmonic maps

6 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2013

The Subelliptic $\infty$ -Laplace System on Carnot-Carathéodory Spaces

Nicholas Katzourakis

Given a Carnot-Carathéodory space $\Om \sub \R^n$ with associated vector fields $X = {X_{1}, ..., X_{m}}$ , we derive the subelliptic $\infty$ -Laplace system for mappings $u : \Om \larrow…

math.AP2013

Explicit Infinity-Harmonic Maps whose Interfaces have Junctions and Corners

Nicholas Katzourakis

Given a map $u : \Om \sub \R^n \larrow \R^N$, the $\infty$ -Laplacian is the system \[ \label{1} \De_\infty u \, :=\, \Big(Du \ot Du + |Du|^2 [Du]^\bot \ \ot I \Big) : D^2 u\, = \,…

math.AP2012★ 6 cited

On the structure of $\infty$ -Harmonic maps

Nicholas Katzourakis

Let $H \in C^{2} (R^{N \times n})$ , $H \geq 0$ . The PDE system \[ \label{1} A_\infty u \, :=\, \Big(H_P \otimes H_P + H [H_P]^\bot H_{PP} \Big)(Du) : D^2 u\, = \, 0 \tag{1} \]…

The Subelliptic ∞-Laplace System on Carnot-Carathéodory Spaces

Explicit Infinity-Harmonic Maps whose Interfaces have Junctions and Corners

On the structure of ∞-Harmonic maps

The Subelliptic $\infty$ -Laplace System on Carnot-Carathéodory Spaces

On the structure of $\infty$ -Harmonic maps