Second Order $L^{\infty }$ Variational Problems and the $\infty$-Polylaplacian

Nikos Katzourakis, Tristan Pryer

In this paper we initiate the study of $2$nd order variational problems in $L^{\infty }$, seeking to minimise the $L^{\infty }$ norm of a function of the hessian. We also derive and stud…