Curl-Free Ginzburg-Landau Vortices

Details Curl-Free Ginzburg-Landau Vortices Curl-Free Ginzburg-Landau Vortices

1998-04-24

arxiv.org/abs/math/9804118v1

Nonlinear Analysis 38, pp. 933-949 (1999)

Mathematics

Analysis of PDEs

19p., LaTeX, to appear in J. Nonlinear Analysis - TMA

Scientific paper

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.

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