Lojasiewicz Estimates for a Regularised Baby-Skyrme Model

We investigate the structure of degree $1$ minimisers of a Baby-Skyrme energy of maps $u:Σ\to S^2$ regularised by a Sacks-Uhlenbeck perturbation, and we establish quantitative convergence rates to a simple bubble tree consisting of a single degree $1$ bubble and a constant base map.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-27
DOI
https://doi.org/10.48550/arxiv.2610.37499
Primary Topic
Geometric Analysis and Curvature Flows
Type
preprint
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preprint

Lojasiewicz Estimates for a Regularised Baby-Skyrme Model

Sebastian Woodward
arXiv (Cornell University)
Geometric Analysis and Curvature Flows
preprint

Lojasiewicz Estimates for a Regularised Baby-Skyrme Model

Sebastian Woodward
preprint en

Abstract

We investigate the structure of degree $1$ minimisers of a Baby-Skyrme energy of maps $u:Σ\to S^2$ regularised by a Sacks-Uhlenbeck perturbation, and we establish quantitative convergence rates to a simple bubble tree consisting of a single degree $1$ bubble and a constant base map.

arXiv (Cornell University)
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
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Lojasiewicz Estimates for a Regularised Baby-Skyrme Model — Sebastian Woodward · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS