2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76862For certain nonlinear elliptic PDE problems in two dimensions, the classical isoperimetric inequality produces a sharp inequality that violates a Pohozaev identity except for radial symmetric, decreasing solutions. A generalized version of this technique is used here to prove radial symmetry of curl-free Ginzburg-Landau vortices.19p., LaTeX, to appear in J. Nonlinear Analysis - TMAAnalysis of PDEsMathematical Physics35Q55text