Showing math.APShow all
2 papers · 1 filter
math.AP2026
Optimal regularity of stable harmonic maps to spheres
Xuanyu Li
In this paper, we show that the codimension of the singular set of a stable stationary harmonic map to a round -sphere is at least when is between 3 and 6, and is at l…
math.AP2026
Existence of expanding harmonic map flows to hemispheres
Xuanyu Li
We show the existence of non-trivial self-expanding harmonic map flows starting from non-energy-minimizing 0-homogeneous maps to a regular ball or a closed hemisphere. In particula…