13 citations · 18 across the 2 of their papers we have counts for
4 papers · 1 filter
On the singular set of free interface in an optimal partition problem
Onur Alper
We study the singular set of free interface in an optimal partition problem for the Dirichlet eigenvalues. We prove that its upper -dimensional Minkowski content, and conseq…
Uniqueness of planar tangent maps in the modified Ericksen model
Onur Alper
We prove the uniqueness of homogeneous blow-up limits of maps minimizing the modified Ericksen energy for nematic liquid crystals in a planar domain. The proof is based on the Weis…
Rectifiability of line defects in liquid crystals with variable degree of orientation
Onur Alper
In [AHL] Hardt, Lin and the author proved that the defect set of minimizers of the modified Ericksen energy for nematic liquid crystals consists locally of a finite union of isolat…
Defects of liquid crystals with variable degree of orientation
Onur Alper, Robert Hardt, Fang-Hua Lin
We prove that the zero set of a minimizer of the modified Ericksen energy for nematic liquid crystals with variable degree of orientation consists locally of isolated points and a…