Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models
Lawrence C. Evans, Olivier Kneuss, Hung Tran
TL;DR
This paper investigates the partial regularity of minimizers for singular energy functionals, inspired by liquid crystal models, providing insights into their mathematical properties and regularity behavior.
Contribution
It introduces new partial regularity results for minimizers of singular functionals, extending the understanding of liquid crystal energy models.
Findings
Establishment of partial regularity results for minimizers
Application of results to liquid crystal models
Extension of regularity theory for singular functionals
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.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Spectral Theory in Mathematical Physics · Geometry and complex manifolds