Partial regularity for harmonic maps into spheres at a singular or degenerate free boundary

Roger Moser, James Roberts

Research output: Contribution to journalArticlepeer-review


We prove partial regularity of weakly stationary harmonic maps with (partially) free boundary data on manifolds where the domain metric may degenerate or become singular along the free boundary at the rate dα for the distance
function d from the boundary.
Original languageEnglish
JournalJournal of Geometric Analysis
Publication statusAcceptance date - 2 Sep 2021

Cite this