Calculus of Variations and Geometric Measure Theory

I. Fonseca - N. Fusco - G. Leoni - M. Morini

Global and local energy minimizers for a nanowire growth model

created by morini on 06 Aug 2021


Submitted Paper

Inserted: 6 aug 2021
Last Updated: 6 aug 2021

Year: 2021


We consider a model for vapor-liquid-solid growth of nanowires proposed in the physical literature. Liquid drops are described as local or global volume-constrained minimizers of the capillarity energy outside a semi-infinite convex obstacle modeling the nanowire. We first address the existence of global minimizers and then, in the case of rotationally symmetric nanowires, we investigate how the presence of a sharp edge affects the shape of local minimizers and the validity of Young's law.