R. Moser

activity

20232026

L^{\infty}

involving semilinear second order differential operators

5 citations · 8 across the 9 of their papers we have counts for

collaborators

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

math.DG2026

The Sesquiharmonic Map Flow from Riemannian Surfaces

Amirreza Harandi, Roger Moser

Let $M$ be a two-dimensional compact manifold without boundary and let $N$ be a compact manifold without boundary. We study the $L^{2}$ -gradient flow of an energy functional that int…

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.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

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.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…

math.AP2024

Existence, uniqueness and characterisation of local minimisers in higher order Calculus of Variations in $L^{\infty}$

Nikos Katzourakis, Roger Moser

We study variational problems for second order supremal functionals $F_{\infty} (u) = ∥ F (\cdot, u, D u, A : D^{2} u) ∥_{L^{\infty} (Ω)}$ , where $F$ …

math.AP2024★ 3 cited

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…

math.AP2023★ 5 cited

Variational problems in $L^{\infty}$ involving semilinear second order differential operators

Nikos Katzourakis, Roger Moser

For an elliptic, semilinear differential operator of the form $S (u) = A : D^{2} u + b (x, u, D u)$ , consider the functional $E_{\infty} (u) = ess sup_{Ω} ∣ S (u) ∣$ . We st…

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

The Sesquiharmonic Map Flow from Riemannian Surfaces

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

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

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

Existence, uniqueness and characterisation of local minimisers in higher order Calculus of Variations in L∞

Minimisers of supremal functionals and mass-minimising 1-currents

Variational problems in L∞ involving semilinear second order differential operators

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

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

Existence, uniqueness and characterisation of local minimisers in higher order Calculus of Variations in $L^{\infty}$

Variational problems in $L^{\infty}$ involving semilinear second order differential operators