Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models

2013/12/16 by Lawrence C. Evans, Olivier Kneuss, Evans, Lawrence C. +4 · 3 citations
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #math.AP

paper · pdf · doi:10.48550/arxiv.1312.4471

29 pages

arxiv created 2013/12/16 · openalex publication_date 2013/12/16 · arxiv updated 2013/12/17 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We study the partial regularity of minimizers for certain singular functionals in the calculus of variations, motivated by Ball and Majumdar's recent modification [BM] of the Landau-de Gennes energy functional.

Citations

• Convexity conditions and existence theorems in nonlinear elasticity
• Equilibrium order parameters of liquid crystals in the Landau-De Gennes theory
• Liquid crystal elastomers and phase transitions in rod networks

Cited by

• Contact set of solutions to gradient flow of Landau-de Gennes energy with a singular entropy potential
• Numerical analysis for constrained and unconstrained Q-tensor energies for liquid crystals
• Biaxial Disclinations Around a Spherical Colloid

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