IJPAM: Volume 50, No. 1 (2009)
A REMARK ON A SEMI-LINEAR ELLIPTIC PROBLEM
WITH THE DE GENNES BOUNDARY CONDITION
ASSOCIATED WITH SUPERCONDUCTIVITY
WITH THE DE GENNES BOUNDARY CONDITION
ASSOCIATED WITH SUPERCONDUCTIVITY
Junichi Aramaki
Department of Mathematical Sciences
Faculty of Science and Engineering
Tokyo Denki University
Hatoyama-machi, Hiki-Gun, Saitama, 350-0394, JAPAN
e-mail: aramaki@r.dendai.ac.jp
Department of Mathematical Sciences
Faculty of Science and Engineering
Tokyo Denki University
Hatoyama-machi, Hiki-Gun, Saitama, 350-0394, JAPAN
e-mail: aramaki@r.dendai.ac.jp
Abstract.We shall show that the results of Lu and Pan [#!lupan96!#] also hold for the equation with more general non-linearity associated with the Ginzburg-Landau system. We impose the de Gennes boundary condition and show that some of the results hold in a domain in 
, where 
may be general.
Received: November 10, 2008
AMS Subject Classification: 82D55, 35P15, 35Q55
Key Words and Phrases: semi-elliptic equations, superconductivity, Ginzburg-Landau system
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 50
Issue: 1