Shape optimization in compressible liquid crystals
Wenya Ma, Yihang Hao, Xiangao Liu · Communications on Pure & Applied Analysis · 2015
The shape optimization problem for the profile in compressibleliquid crystals is considered in this paper. We prove that the optimal shape with minimal volume is attainable in an appropriate class of admissible profiles which subjects to a constraint on the thickness of the boundary. Such consequence is mainly obtained from the well-known weak sequential compactnessmethod (see [25]).