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math.AP2022★ 3 cited
Solutions of the Ginzburg-Landau equations concentrating on codimension-2 minimal submanifolds
Marco Badran, Manuel del Pino
We consider the magnetic Ginzburg-Landau equations in a compact manifold $$ \begin{cases} -\varepsilon^2 Δ^{A} u=\frac{1}{2}(1-|u|^2)u,\\ \varepsilon^2 d^*dA=\langle\nabla^A u,…
math.AP2022
Entire solutions to 4-dimensional Ginzburg-Landau equations and codimension 2 minimal submanifolds
Marco Badran, Manuel del Pino
We consider the magnetic Ginzburg-Landau equations in $$ \begin{cases} -\varepsilon^2(\nabla-iA)^2u = \frac{1}{2}(1-|u|^{2})u,\\ \varepsilon^2 d^*dA = \langle(\nabla…