Remark on isolated removable singularities of harmonic maps in two dimensions
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 $R=\infty$.
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2025-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/85/abstr.html |
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