On the limit of global minimizers for a -Ginzburg–Landau-type energy

  • Yaniv Almog

    Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA
  • Leonid Berlyand

    Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
  • Dmitry Golovaty

    Department of Theoretical and Applied Mathematics, The University of Akron, Akron, OH 44325, USA
  • Itai Shafrir

    Department of Mathematics, Technion – Israel Institute of Technology, 32000 Haifa, Israel

Abstract

We study the limit of global minimizers for a -Ginzburg–Landau-type energy

The minimization is carried over maps on that vanish at the origin and are of degree one at infinity. We prove locally uniform convergence of the minimizers on and obtain an explicit formula for the limit on . Some generalizations to dimension are presented as well.

Cite this article

Yaniv Almog, Leonid Berlyand, Dmitry Golovaty, Itai Shafrir, On the limit of global minimizers for a -Ginzburg–Landau-type energy. Ann. Inst. H. Poincaré Anal. Non Linéaire 30 (2013), no. 6, pp. 1159–1174

DOI 10.1016/J.ANIHPC.2012.12.013