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Title: An extended magnetostatic Born-Infeld model with a concave lower order term

This paper concerns an extended Born-Infeld model with a concave lower order term for the magnetostatic case. Three types of boundary value problems are considered: the boundary condition prescribing the tangential component of A, the natural boundary condition, and the boundary condition prescribing the tangential component of curl A. In each case we obtain existence and regularity of solutions for small boundary data.
Authors:
 [1] ;  [2]
  1. College of Computer and Information Engineering, Fujian Agriculture and Forestry University, Fuzhou 350002, Fujian (China)
  2. Department of Mathematics, East China Normal University, and NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai, Shanghai 200062 (China)
Publication Date:
OSTI Identifier:
22251928
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 11; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BORN-INFELD THEORY; BOUNDARY CONDITIONS; BOUNDARY-VALUE PROBLEMS; MATHEMATICAL SOLUTIONS