On the capacity approach to non-attainability of Hardy's inequality in \(\mathbb{R}^N\)

DOI10.3934/DCDSS.2019017zbMath1476.35014OpenAlexW2886555808MaRDI QIDQ1734801

Cristina Tarsi, Daniele Cassani, Bernhard Ruf

Publication date: 27 March 2019

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2019017

zbMATH Keywords

Hardy inequality$p$-Laplaciennon-attainability

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) Quasilinear elliptic equations with (p)-Laplacian (35J92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

Remarks on a limiting case of Hardy type inequalities

Cites Work

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• The Prehistory of the Hardy Inequality
• Sobolev Spaces

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