A Pointwise Characterisation of the PDE System of Vectorial Calculus of Variations in $L^{\infty }$

Birzhan Ayanbayev, Nikos Katzourakis

Let $n,N\in \mathbb{N}$ with $\Omega \subseteq {\mathbb{R}}^n$ open. Given $H\in C^2(\Omega \times {\mathbb{R}}^N\times {\mathbb{R}}^{Nn}),$ we consider the functional \[ \tag{1} \label{1} E_\infty…