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}...
Үндсэн зохиолчид: | Ignat, R, Mickael, N, Nguyen, LUC |
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Формат: | Journal article |
Хэл сонгох: | English |
Хэвлэсэн: |
Springer Nature
2025
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