Linus Behn

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math.AP2025

Examples of $p$ -harmonic maps

Anna Balci, Linus Behn, Lars Diening +1

We construct explicit examples of $p$ -harmonic maps $u : R^{n} \to R^{N}$ . These are more irregular than the previously known examples and thus provide new upper bounds…

math.AP2024

Nonlocal equations with degenerate weights

Linus Behn, Lars Diening, Jihoon Ok +1

We introduce fractional weighted Sobolev spaces with degenerate weights. For these spaces we provide embeddings and Poincaré inequalities. When the order of fractional differentiab…

math.AP2021

On symmetric div-quasiconvex hulls and divsym-free $L^{\infty}$ -truncations

Linus Behn, Franz Gmeineder, Stefan Schiffer

We establish that for any non-empty, compact set $K \subset R_{sym}^{3 \times 3}$ the $1$ - and $\infty$ -symmetric div-quasiconvex hulls $K^{(1)}$ and $K^{(\infty)}$ …

Examples of p-harmonic maps

Nonlocal equations with degenerate weights

On symmetric div-quasiconvex hulls and divsym-free L∞-truncations

Examples of $p$ -harmonic maps

On symmetric div-quasiconvex hulls and divsym-free $L^{\infty}$ -truncations