G. Di Fratta - V. Slastikov - A. Zarnescu
On a sharp Poincaré-type inequality on the 2-sphere and its application in micromagnetics
Published Paper
Inserted: 30 apr 2021
Last Updated: 30 apr 2021
Journal: SIAM Journal on Mathematical Analysis
Volume: 51
Number: 4
Year: 2019
Doi: https://doi.org/10.1137/19M1238757
Abstract:
The main aim of this note is to prove a sharp Poincar\'e-type inequality for vector-valued functions on $\mathbb{S}^2$, that naturally emerges in the context of micromagnetics of spherical thin films.