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math.AP2017
A Ginzburg-Landau type problem for highly anisotropic nematic liquid crystals
Dmitry Golovaty, Peter Sternberg, Raghavendra Venkatraman
We carry out an asymptotic analysis of a thin nematic liquid crystal in which one elastic constant dominates over the others, namely \begin{align} \label{energyab} \inf E_\varepsil…
math.AP2017
A singular local minimizer for the volume constrained minimal surface problem in a nonconvex domain
Peter Sternberg, Kevin Zumbrun
It has recently been established byWang and Xia [WX] that local minimizers of perimeter within a ball subject to a volume constraint must be spherical caps or planes through the or…