Curl-Free Ginzburg-Landau Vortices

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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

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Analysis of PDEs, Mathematical Physics, 35Q55

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http://salesiana.dossiersoluciones.com/handle/123456789/76862

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9804118
 http://arxiv.org/abs/math/9804118
 Nonlinear Analysis 38, pp. 933-949 (1999)

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arXiv