Year: 2026
Type: preprint
Abstract: We study the asymptotic behaviour, as $\varepsilon\to 0^+$, of the $p$-Dirichlet energy of maps $u\colonΩ\subset\mathbb{R}^2 \to \mathbb{R}^2$ constrained to take values in the rescaled periodic network $\varepsilon\mathcal Z$, where $\mathcal Z$ is a standard square network in $\mathbb{R}^2$. The oscillations are carried by the constraint in the target, not by the energy density, and their effect depends on $p$. For $1
Source: arXiv (Cornell University)
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G5743846505
OpenAlex ID: W7223689248