Asymptotics for the Ginzburg-Landau equation on manifolds with boundary under homogeneous Neumann condition

Da Rong Cheng

On a compact manifold $M^n$ ($n\ge 3$) with boundary, we study the asymptotic behavior as $\epsilon$ tends to zero of solutions $u_{\epsilon }:M\to \mathbb{C}$ to the equation $Δu_ε + ε^{-2}(1…