REAL

A bipolar Hardy inequality on Finsler manifolds

Mester, Ágnes and Kristály, Alexandru (2019) A bipolar Hardy inequality on Finsler manifolds. In: SACI 2019 : IEEE 13th Symposium on Applied Computational Intelligence and Informatics, 2019.05.29.-2019.05.31., Timisoara.

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Abstract

We establish a bipolar Hardy inequality on complete, not necessarily reversible Finsler manifolds. We show that our result strongly depends on the geometry of the Finsler structure, namely on the reversibility constant rF and the uniformity constant $l_F$. Our result represents a Finslerian counterpart of the Euclidean multipolar Hardy inequality due to Cazacu and Zuazua [3] and the Riemannian case considered by Faraci, Farkas and Krist\'aly [5].

Item Type: Conference or Workshop Item (Paper)
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis
Depositing User: Dr. Alexandru Kristaly
Date Deposited: 25 Sep 2019 11:43
Last Modified: 25 Sep 2019 11:43
URI: http://real.mtak.hu/id/eprint/101251

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