Simone Carano

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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 $W^{k, \infty} (Ω, R^{N})$ satisfy a maximum principle of the form $$ \max_{\overline…

math.AP2025

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

Simone Carano, Roger Moser

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

math.AP2025

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…

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

An L∞-variational problem involving the Fractional Laplacian

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

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

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

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