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

Showing 2025 · math.APShow all

3 papers · 2 filters

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…

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

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