Calculus of Variations and Geometric Measure Theory
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G. Di Fratta - V. Slastikov - A. Zarnescu

On a sharp Poincaré-type inequality on the 2-sphere and its application in micromagnetics

created by difratta on 30 Apr 2021

[BibTeX]

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

ArXiv: 1901.04334 PDF

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.

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