Curl-Free Ginzburg-Landau Vortices

Abstract

For 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 - TMA