IJPAM: Volume 55, No. 2 (2009)
A NOTE ON
ESTIMATES FOR SOLUTIONS OF
A SEMI-LINEAR ELLIPTIC EQUATION ASSOCIATED
WITH SUPERCONDUCTIVITY

A SEMI-LINEAR ELLIPTIC EQUATION ASSOCIATED
WITH SUPERCONDUCTIVITY
Junichi Aramaki
Department of Mathematical Sciences
Faculty of Science and Engineering
Tokyo Denki University
Hatoyama-Machi, Hiki-Gun, Saitama-Ken, 350-0394, JAPAN
e-mail: aramaki@mail.dendai.ac.jp
Department of Mathematical Sciences
Faculty of Science and Engineering
Tokyo Denki University
Hatoyama-Machi, Hiki-Gun, Saitama-Ken, 350-0394, JAPAN
e-mail: aramaki@mail.dendai.ac.jp
Abstract.We study the property of a solution for a semi-linear elliptic equation in general dimensional Euclidean space . In our previous paper, we have proved the doubling property and the strong unique continuation theorem of the solution. In this note, we shall show the
property for the solution under some assumptions.
Received: August 5, 2009
AMS Subject Classification: 82D55, 47F05, 35J60
Key Words and Phrases: estimate, semi-linear elliptic equation, Ginzburg-Landau system
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 55
Issue: 2