Minimizing properties of arbitrary solutions to the Ginzburg–Landau equation
Myriam Comte, Petru Mironescu · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1999
We consider the Ginzburg–Landau type equation whereGis a smooth bounded domain in ℝ2,g ∊ C∞(∂G;ℝ2/ {0}), andε> 0 is a small parameter. We prove the uniqueness of solutions to this equation under some non-vanishing assumptions onuε, or under conditions on the boundary functiong.