Geodesic
On the limit p→∞ of global minimizers for a p-Ginzburg–Landau-type energy
Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013) no. 6, pp. 1159-1174

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We study the limit p→∞ of global minimizers for a p-Ginzburg–Landau-type energy The minimization is carried over maps on ℝ 2 that vanish at the origin and are of degree one at infinity. We prove locally uniform convergence of the minimizers on ℝ 2 and obtain an explicit formula for the limit on B(0,2). Some generalizations to dimension N⩾3 are presented as well.

@article{AIHPC_2013__30_6_1159_0,
     author = {Almog, Yaniv and Berlyand, Leonid and Golovaty, Dmitry and Shafrir, Itai},
     title = {On the limit $ p\to \infty $ of global minimizers for a {\protect\emph{p}-Ginzburg{\textendash}Landau-type} energy},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1159--1174},
     publisher = {Elsevier},
     volume = {30},
     number = {6},
     year = {2013},
     doi = {10.1016/j.anihpc.2012.12.013},
     mrnumber = {3132420},
     zbl = {1288.35441},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2012.12.013/}
}
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Almog, Yaniv; Berlyand, Leonid; Golovaty, Dmitry; Shafrir, Itai. On the limit $ p\to \infty $ of global minimizers for a p-Ginzburg–Landau-type energy. Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013) no. 6, pp. 1159-1174. doi: 10.1016/j.anihpc.2012.12.013

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