Asymptotic estimations for a p -Ginzburg–Landau type minimizer

✍ Scribed by Yutian Lei

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 239 KB
• Volume: 280
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200410565

✦ Synopsis

Abstract

The author establishes the essential estimations, the L^p^ ~loc~ and the C^α^ estimations of |∇u~ε~ |, where u~ε~ is the minimizer of a Ginzburg–Landau type functional. Based on the results, the corresponding convergences (when ε → 0) of theminimizer in W^1,p^ and C^1,α^ senses are proved, respectively. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)