Ginzburg-Landau equations on non-compact Riemann surfaces

Autor: Ercolani, Nicolas M., Sigal, Israel Michael, Zhang, Jingxuan

Publikováno v: Ercolani, N M, Sigal, I M & Zhang, J 2023, ' Ginzburg-Landau equations on non-compact Riemann surfaces ', Journal of Functional Analysis, vol. 285, no. 8, 110074 . https://doi.org/10.1016/j.jfa.2023.110074

We study the Ginzburg-Landau equations on line bundles over non-compact Riemann surfaces with constant negative curvature. We prove existence of solutions with energy strictly less than that of the constant curvature (magnetic field) one. These solut

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https://curis.ku.dk/ws/files/359650984/Ginzburg_Landau_equations.pdf