Leon Happ

activity

20232025

most citedOn the existence of extensions for manifold-valued Sobolev maps on perforated domains

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2024

Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel-Zheng theory

Elisa Davoli, Leon Happ

In this paper we prove a strong two-scale approximation result for sphere-valued maps in $L^{2} (Ω; W_{0}^{1, 2} (Q_{0}; S^{2}))$ , where $Ω \subset R^{3}$ is an open domain and $…

math.AP2024★ 1 cited

On the existence of extensions for manifold-valued Sobolev maps on perforated domains

Chiara Gavioli, Leon Happ, Valerio Pagliari

Motivated by manifold-constrained homogenization problems, we construct suitable extensions for Sobolev functions defined on a perforated domain and taking values in a compact, con…