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

(SIAM Journal on Mathematical Analysis, 2019-08-21)
The main aim of this note is to prove a sharp Poincaré-type inequality for vector-valued functions on $\mathbb{S}^2$ that naturally emerges in the context of micromagnetics of spherical thin films.