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29 March 2024
 
  » arxiv » math.AP/9804118

 Article overview


Curl-Free Ginzburg-Landau Vortices
Sagun Chanillo ; Michael Kiessling ;
Date 24 Apr 1998
Journal Nonlinear Analysis 38, pp. 933-949 (1999)
Subject Analysis of PDEs; Mathematical Physics MSC-class: 35Q55 | math.AP math-ph math.MP
AffiliationDept. Math., Rutgers Univ
AbstractFor 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.
Source arXiv, math.AP/9804118
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