Methods and Applications of Analysis

Regularity of the Minimizer for the D-Wave Ginzburg-Landau Energy

Tai-Chia Lin and Lihe Wang


We study the minimizer of the d-wave Ginzburg-Landau energy in a specific class of functions. We show that the minimizer having distinct degree-one vortices is Holder continuous. Away from vortex cores, the minimizer converges uniformly to a canonical harmonic map. For a single vortex in the vortex core, we obtain the C1/2-norm estimate of the fourfold symmetric vortex solution. Furthermore, we prove the convergence of the fourfold symmetric vortex solution under different scales of DELTA.

Article information

Methods Appl. Anal., Volume 10, Number 1 (2003), 081-096.

First available in Project Euclid: 16 June 2005

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Lin, Tai-Chia; Wang, Lihe. Regularity of the Minimizer for the D -Wave Ginzburg-Landau Energy. Methods Appl. Anal. 10 (2003), no. 1, 081--096.

Export citation