Limiting properties of the second order Ginzburg–Landau minimizers

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摘要

The author studies the weak convergence for the gradient of the minimizers for a second order energy functional when the parameter tends to 0. And this paper is also concerned with the location of the zeros and the blow-up points of the gradient of the minimizers of this functional. Finally, the strong convergence of the gradient of the radial minimizers is obtained.

论文关键词:35J35,49J45,49Q20,Second order energy functional,Location of zeros and the blow-up points,Radial minimizer

论文评审过程:Received 5 July 2006, Revised 27 February 2007, Available online 23 March 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2007.03.012