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math.AP2026
Non-constancy and multiplicity of half-harmonic maps from intervals into the circle
Ali Hyder, Luca Martinazzi
We study one-dimensional half-harmonic maps from the real line into the circle with prescribed exterior data. We show that, for every positive integer , if two disjoint interval…
math.AP2025
One-dimensional half-harmonic maps into the circle and their degree
Luca Martinazzi, Ali Hyder
Given a half-harmonic map minimizing the fractional Dirichlet energy under Dirichlet boundary conditions in $\mathbb{R}\setmi…