Work

Remark on isolated removable singularities of harmonic maps in two dimensions

Year: 2025

Type: article

Abstract: For a ball \(B_R(0)\subset\mathbb{R}^2\), we provide sufficient conditions such that a harmonic map \(u\in C^\infty(B_R(0)\setminus\{0\}, N)\), with a self-similar bound on its gradient, belong to \(C^\infty(B_R(0))\). These conditions also guarantee the triviality of such harmonic maps when \(R=\infty\). For more information see https://ejde.math.txstate.edu/Volumes/2025/85/abstr.html

Source: Electronic Journal of Differential Equations

DOI: 10.58997/ejde.2025.85

Author: Changyou Wang

Institution: Purdue University West Lafayette

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Science Foundation

Awards: Variational Analysis and Hydrodynamics of Liquid Crystals, Problems on Hydrodynamics and Phase Transitions from Nematic Liquid Crystal Materials