This site uses cookies. By continuing to use this site you agree to our use of cookies. To find out more, see our Privacy and Cookies policy.

Fourfold symmetric vortex solutions of the d-wave Ginzburg-Landau equation

and

Published 17 January 2002 • Published under licence by IOP Publishing Ltd
, , Citation Qing Han and Tai-Chia Lin 2002 Nonlinearity 15 257 DOI 10.1088/0951-7715/15/2/303

Download Article PDF

Article metrics

99 Total downloads

Share this article

Author affiliations

1 Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA

2 Department of Mathematics, Chung-Cheng University, Minghsiung, Chiayi 621, Taiwan

Dates

  1. Received 16 March 2001
  2. Published

Buy this article in print

Journal RSS
Sign up for new issue notifications
0951-7715/15/2/257

Abstract

We study the d-wave Ginzburg-Landau equation which is a fourth-order semilinear degenerate elliptic system. We prove that there exist two fourfold symmetric vortex solutions which are small perturbations of the symmetric vortex solutions with the Dirichlet and the Neumann boundary conditions, respectively.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue

Recommended by G Morriss

10.1088/0951-7715/15/2/303