On the generalized Hardy-Rellich inequalities

DOI10.1017/prm.2018.128zbMath1435.35013arXiv1801.03197OpenAlexW2963485270MaRDI QIDQ5221047

Ujjal Das, T. V. Anoop, Abhishek Sarkar

Publication date: 27 March 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03197

zbMATH Keywords

symmetrizationMuckenhoupt conditionexterior domainsLorentz-Zygmund spacesLorentz spacesgeneralized Hardy-Rellich inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (3)

Admissible function spaces for weighted Sobolev inequalities ⋮ On weighted logarithmic-Sobolev \& logarithmic-Hardy inequalities ⋮ The compactness and the concentration compactness via \(P\)-capacity

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