Minimality of vortex solutions to Ginzburg--Landau type systems for gradient fields in the unit ball in dimension N ≥ 4
We prove that the degree-one vortex solution is the unique minimizer for the Ginzburg–Landau functional for gradient fields (that is, the Aviles–Giga model) in the unit ball $B^N$ in dimension $N \ge 4$ and with respect to its boundary value. A similar result is also prove in a model for $\mathbb{S}...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer Nature
2025
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