Simone Carano

collaborators

3 papers

math.AP2026

Energy maximum principle for vectorial higher order absolute minimisers in $L^{\infty}$ and $L^{p}$

Simone Carano, Nikos Katzourakis, Roger Moser

We show that vectorial absolute minimisers of general $k$ -th order supremal functionals in $W^{k, \infty} (I^c ◯, R^{N})$ satisfy a maximum principle of the form $$ \max_{\overline…

math.AP2026

Existence, uniqueness and characterisation of vector-valued absolute minimisers for a second order $L^{\infty}$ -variational problem

Simone Carano, Nikos Katzourakis, Roger Moser

We study a vectorial $L^{\infty}$ -variational problem of second order, where the supremal functional depends on the vector function $u$ through a linear elliptic operator in divergen…

math.AP2026

An $L^{\infty}$ -variational problem involving the Fractional Laplacian

Simone Carano, Roger Moser

For $s \in (0, 1)$ and an open bounded set $I^c ◯ \subset R^{n}$ , we prove existence and uniqueness of absolute minimisers of the supremal functional $$E_\infty(u)=\|(-Î)^s u\|_{L^\…

Energy maximum principle for vectorial higher order absolute minimisers in L∞ and Lp

Existence, uniqueness and characterisation of vector-valued absolute minimisers for a second order L∞-variational problem

An L∞-variational problem involving the Fractional Laplacian

Energy maximum principle for vectorial higher order absolute minimisers in $L^{\infty}$ and $L^{p}$

Existence, uniqueness and characterisation of vector-valued absolute minimisers for a second order $L^{\infty}$ -variational problem

An $L^{\infty}$ -variational problem involving the Fractional Laplacian