Improved Hardy-Rellich inequalities

B Cassano, L Cossetti, L Fanelli - arXiv preprint arXiv:2106.09804, 2021 - arxiv.org
… , improvements upon Hardy-Rellich inequalities (3) in the same style as above are still
missing in the literature. The purpose of this paper is to fill this gap. Such improvements descend …

Best constants in the HardyRellich inequalities and related improvements

A Tertikas, NB Zographopoulos - Advances in Mathematics, 2007 - Elsevier
… We consider HardyRellich inequalities and discuss their possible improvement. The …
inequalities are obtained (eg Rellich–Sobolev inequalities). We discuss also the optimality of these …

Improved Hardy and HardyRellich type inequalities with Bessel pairs via factorizations

NT Duy, N Lam, NA Triet - Journal of Spectral Theory, 2020 - ems.press
… Our motivation of this note is the approach in [12] where Gesztesy and Littlejohn applied
factorizations of singular, even-order partial differential operators to provide simple proofs …

Optimal weighted HardyRellich inequalities on H2H01

A Moradifam - Journal of the London Mathematical Society, 2011 - academic.oup.com
… about improved HardyRellich inequalities and the inequalities … to prove optimal weighted
HardyRellich inequalities on H … can prove various improved HardyRellich inequalities on H …

Bessel pairs and optimal Hardy and HardyRellich inequalities

N Ghoussoub, A Moradifam - Mathematische Annalen, 2011 - Springer
… dx, improving in many ways several recent results in [32]. Theorem 1.1 also leads to certain
improved HardyRellich inequalities that are crucial in studying the regularity of the extremal …

On improvements of the Hardy, Copson and Rellich inequalities

B Das, A Manna - arXiv preprint arXiv:2309.04923, 2023 - arxiv.org
… (−∆Λ), we establish an extended improved discrete Hardy’s inequality and Rellich inequality
in one dimension. We prove that the discrete Copson inequality (ET Copson, Notes on a …

Sharp Hardy and Rellich type inequalities on Cartan--Hadamard manifolds and their improvements

VH Nguyen - arXiv preprint arXiv:1708.09306, 2017 - arxiv.org
… We also prove several improved Hardy and Rellich type inequalities in hyperbolic space …
improvements for these Hardy type inequalities. Section 4, we prove Rellich type inequalities (…

A new proof of the HardyRellich inequality in any dimension

C Cazacu - Proceedings of the Royal Society of Edinburgh Section …, 2020 - cambridge.org
The Hardy-Rellich inequality in the whole space with the best constant was firstly proved by …
an easy and compact proof of the optimal HardyRellich inequality in any dimension N ⩾ 3. …

Factorizations and Hardy-Rellich-type inequalities

F Gesztesy, L Littlejohn - arXiv preprint arXiv:1701.08929, 2017 - arxiv.org
… Happy Birthday, Helge, we hope our modest contribution to HardyRellichtype inequalities
will give some joy. … Yang, An improved HardyRellich inequality with optimal constant, J. …

[PDF][PDF] Sharp constants in the HardyRellich inequalities

D Yafaev - Journal of Functional Analysis, 1999 - core.ac.uk
… Here we show that the constants Cl in Theorem 2.9 cannot be improved. Actually, we shall
check that the constants Cl are optimal even on the ``narrow'' class u # C0 (Rd "[0]) when …