On the Cheeger problem for rotationally invariant domains
Sign Up to like & getrecommendations! Published in 2020 at "manuscripta mathematica"
DOI: 10.1007/s00229-020-01260-9
Abstract: We investigate the properties of the Cheeger sets of rotationally invariant, bounded domains $\Omega \subset \mathbb{R}^n$. For a rotationally invariant Cheeger set $C$, the free boundary $\partial C \cap \Omega$ consists of pieces of Delaunay… read more here.
Keywords: problem rotationally; cheeger problem; invariant domains; rotationally invariant ... See more keywords
Rotationally invariant ring-shaped liquid crystal structures between two substrates with different photoalignment
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Molecular Liquids"
DOI: 10.1016/j.molliq.2021.116238
Abstract: Abstract Planar patterned photoalignment can be used to align liquid crystals (LCs) in any azimuthal orientation. Using different patterns on both substrates, we fabricated and analyzed complex three-dimensional LC structures. We developed four configurations in… read more here.
Keywords: invariant ring; rotationally invariant; shaped liquid; ring shaped ... See more keywords