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

Roger Moser; James Roberts

doi:10.1007/s12220-021-00788-w

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

Roger Moser, James Roberts

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (SciVal)

Abstract

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 d^α for the distance
function d from the boundary.

Original language	English
Article number	58
Journal	Journal of Geometric Analysis
Volume	32
Issue number	2
DOIs	https://doi.org/10.1007/s12220-021-00788-w
Publication status	Published - 5 Jan 2022

Bibliographical note

Funding Information:
James Roberts is grateful for being funded as a Postdoctoral researcher on the Royal Society Grant of Professor Manuel del Pino, with Grant Number: RP R1 180114.

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10.1007/s12220-021-00788-wLicence: CC BY

https://arxiv.org/abs/2010.07688

Cite this

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title = "Partial regularity for harmonic maps into spheres at a singular or degenerate free boundary",

abstract = "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 distancefunction d from the boundary.",

author = "Roger Moser and James Roberts",

note = "Funding Information: James Roberts is grateful for being funded as a Postdoctoral researcher on the Royal Society Grant of Professor Manuel del Pino, with Grant Number: RP R1 180114. ",

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AB - 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 distancefunction d from the boundary.

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

Abstract

Bibliographical note

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