Electron. J. Diff. Equ., Vol. 2013 (2013), No. 190, pp. 1-14.

Quasilinear systems associated with superconductivity

Junichi Aramaki

In a previous article, Aramaki [4] considered a semilinear system with general nonlinearity in a three dimensional domain which arises in the mathematical theory of superconductivity. There the problem is reduced to the study of a quasilinear system. There it is assumed that the domain is simply-connected and without holes, and that the normal component of the curl of the boundary data vanishes. In this article, we these conditions are removed, and the analysis relies heavily on the recent work by Lieberman and Pan [16].

Submitted February 25, 2013. Published August 28, 2013.
Math Subject Classifications: 82D55, 35B25, 35Q55, 35B40.
Key Words: Quasilinear system; superconductivity; regularity of weak solutions.

Show me the PDF file (344 KB), TEX file, and other files for this article.

Junichi Aramaki
Division of Science, Faculty of Science and Engineering
Tokyo Denki University,
Hatoyama-machi, Saitama 350-0394, Japan
email: aramaki@mail.dendai.ac.jp

Return to the EJDE web page