Global analysis of a p-Ginzburg-Landau energy with radial structure

作者：Lei Yutian^*; Xu Yaoqun

来源：Journal of Mathematical Analysis and Applications, 2010, 372(2): 538-548.

DOI：10.1016/j.jmaa.2010.06.037

• Radial minimizer
• Asymptotic behavior
• Radon measure
• p-Ginzburg-Landau functional

This paper is concerned with the asymptotic behavior of a p-Ginzburg-Landau functional with radial structure as parameter goes to zero in the case of p not equal 2. By analyzing the functional globally, we show that the singularity of p-Ginzburg-Landau energy concentrates on the origin. By the fact the singularity can be balanced by some infinitesimal weight, we prove that an energy with a proper weight is globally bounded.

• 出版日期2010-12-15
• 单位南京师范大学; 哈尔滨商业大学