R. Moser

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20242026

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6 papers · 1 filter

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

A characterisation of $\infty$ -harmonic maps in terms of $1$ -currents

Roger Moser

We consider maps between two Riemannian manifolds and study a functional given in terms of the $L^{\infty}$ -norm of the derivative. This functional is not differentiable, but we can…

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^\…

math.AP2025

Asymptotic minimality of one-dimensional transition profiles in Aviles-Giga type models: an approach via 1-currents

Radu Ignat, Roger Moser

For vector fields on a two-dimensional domain, we study the asymptotic behaviour of Modica-Mortola (or Allen-Cahn) type functionals under the assumption that the divergence converg…

math.AP2024

Minimisers of supremal functionals and mass-minimising 1-currents

Nikos Katzourakis, Roger Moser

We study vector-valued functions that minimise the $L^{\infty}$ -norm of their derivatives for prescribed boundary data. We construct a vector-valued, mass minimising $1$ -current (i.e…

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

A characterisation of ∞-harmonic maps in terms of 1-currents

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

An L∞-variational problem involving the Fractional Laplacian

Asymptotic minimality of one-dimensional transition profiles in Aviles-Giga type models: an approach via 1-currents

Minimisers of supremal functionals and mass-minimising 1-currents

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

A characterisation of $\infty$ -harmonic maps in terms of $1$ -currents

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