A Liouville type result and quantization effects on the system $-\Delta u=u{J}^{\prime }(1-|u{|}^2)$ for a potential convex near zero

U. De Maio, R. Hadiji, C. Lefter +1

We consider a Ginzburg-Landau type equation in ${\mathbb{R}}^2$ of the form $-\Delta u=u{J}^{\prime }(1-|u{|}^2)$ with a potential function $J$ satisfying weak conditions allowing for example a zero of in…