TY - JOUR T1 - Ginzburg-Landau Vortices in Inhomogeneous Superconductors JO - Journal of Partial Differential Equations VL - 3 SP - 45 EP - 60 PY - 2002 DA - 2002/08 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5454.html KW - Vortex KW - Ginzburg-Landau equation KW - elliptic estimate KW - H¹-strong convergence AB - We study the vortex convergence for an inhomogeneous Ginzburg-Landau equation, -Δu = ∈^{-2}u(a(x) - |u|²), and prove that the vortices are attracted to the minimum point b of a(x) as ∈ → 0. Moreover, we show that there exists a subsequence ∈ → 0 such that u_∈ converges to u strongly in H¹_{loc}(\overline{Ω} \ {b}).