On the limit p→∞p→∞ of global minimizers for a p-Ginzburg–Landau-type energy

We study the limit p→∞p→∞ of global minimizers for a p-Ginzburg–Landau-type energy The minimization is carried over maps on R2R2 that vanish at the origin and are of degree one at infinity. We prove locally uniform convergence of the minimizers on R2R2 and obtain an explicit formula for the limit on B(0,2). Some generalizations to dimension N⩾3N⩾3 are presented as well.