A note on the Rellich inequality on half-space

DOI10.1007/s10476-021-0095-5zbMath1488.26060OpenAlexW3185054360MaRDI QIDQ1980946

L. L. Phi, Nguyen Tuan Duy

Publication date: 9 September 2021

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-021-0095-5

zbMATH Keywords

Hardy inequalitybest constantRellich inequalityoptimizer

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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A note on the second order geometric Rellich inequality on half-space

Cites Work

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• The Rellich inequality
• The analysis and geometry of Hardy's inequality
• Optimal Hardy--Rellich inequalities, maximum principle and related eigenvalue problem
• Best constants in the Hardy-Rellich inequalities and related improvements
• Best constants for higher-order Rellich inequalities in \(L^{p}(\Omega )\)
• Explicit constants for Rellich inequalities in \(L_p(\Omega)\)
• On Birman's sequence of Hardy-Rellich-type inequalities
• A note on the second order geometric Rellich inequality on half-space
• Improved Hardy and Hardy-Rellich type inequalities with Bessel pairs via factorizations
• Improved Hardy inequalities and weighted Hardy type inequalities with spherical derivatives
• Geometric Hardy's inequalities with general distance functions
• Short proofs of refined sharp Caffarelli-Kohn-Nirenberg inequalities
• Hardy-Rellich inequalities with boundary remainder terms and applications
• Hardy and Rellich inequalities with exact missing terms on homogeneous groups
• Factorizations and Hardy's type identities and inequalities on upper half spaces
• A note on Hardy inequalities on homogeneous groups
• Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements
• Remarks on the Rellich inequality
• Hardy-Rellich identities with Bessel pairs
• On a class of Rellich inequalities
• Sharp remainder of a critical Hardy inequality
• The Hardy–Rellich inequality for polyharmonic operators
• Hardy and Hardy–Rellich type inequalities with Bessel pairs
• Weighted Inequalities of Hardy Type
• About the Hardy Inequality
• The Prehistory of the Hardy Inequality
• Lp-Caffarelli–Kohn–Nirenberg type inequalities on homogeneous groups
• Radial and logarithmic refinements of Hardy’s inequality