IUMJ

Title: Partial regularity of weak solutions of the liquid crystal equilibrium system

Authors: Min-Chun Hong

Issue: Volume 53 (2004), Issue 5, 1401-1414

Abstract:

For a parameter, we consider the modified relaxed energy of the liquid crystal system. Each minimizer of the modified relaxed energy is a weak solution to the liquid crystal equilibrium system. We prove the partial regularity of minimizers of the modified relaxed energy. We also prove the existence of infinitely many weak solutions for the special boundary value $x$.