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On a sharp Poincar\'e-type inequality on the 2-sphere and its application in micromagnetics

Analysis of PDEs 2019-01-16 v2

Abstract

The main aim of this note is to prove a sharp Poincar\'e-type inequality for vector-valued functions on S2\mathbb{S}^2, that naturally emerges in the context of micromagnetics of spherical thin films.

Keywords

Cite

@article{arxiv.1901.04334,
  title  = {On a sharp Poincar\'e-type inequality on the 2-sphere and its application in micromagnetics},
  author = {Giovanni Di Fratta and Valeriy Slastikov and Arghir Zarnescu},
  journal= {arXiv preprint arXiv:1901.04334},
  year   = {2019}
}

Comments

2 figures