Changyou Wang
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 \(R=\infty\).
Submitted April 18, 2025. Published August 11, 2025.
Math Subject Classifications: 35J50, 58E20.
Key Words: Harmonic maps; removable isolated singularity.
DOI: 10.58997/ejde.2025.85
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| Changyou Wang Department of Mathematics Purdue University West Lafayette, IN 47907, USA email: wang2482@purdue.edu |
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