Local minimality of ${\mathbb{R}}^N$-valued and ${\mathbb{S}}^N$-valued Ginzburg-Landau vortex solutions in the unit ball $B^N$

Radu Ignat, Luc Nguyen

We study the existence, uniqueness and minimality of critical points of the form $m_{\epsilon ,\eta }(x)=(f_{\epsilon ,\eta }(|x|)\frac{x}{|x|},g_{\epsilon ,\eta }(|x|))$ of the funct…