2 papers
math.AP2025
Interaction energies in nematic liquid crystal suspensions
Lia Bronsard, Xavier Lamy, Dominik Stantejsky +1
We establish, as , an asymptotic expansion for the minimal Dirichlet energy of -valued maps outside a finite number of three-dimensional particles of size …
math.AP2025
Minimizing Harmonic Maps on the Unit Ball with Tangential Anchoring
Lia Bronsard, Andrew Colinet, Dominik Stantejsky
Since the seminal work of Schoen-Uhlenbeck, many authors have studied properties of harmonic maps satisfying Dirichlet boundary conditions. In this article, we instead investigate…