On Rellich's inequalities in Euclidean spaces

DOI10.3103/S1066369X18080108zbMath1400.26036OpenAlexW2884066159MaRDI QIDQ1792514

Farit G. Avkhadiev

Publication date: 12 October 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18080108

zbMATH Keywords

Laplace operatorHardy inequalityRellich inequalityuniformly perfect setreal spherical harmonics

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Spherical harmonics (33C55) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (3)

Extremal problems in geometric function theory ⋮ Selected results and open problems on Hardy-Rellich and Poincaré-Friedrichs inequalities ⋮ On extremal domains for integral inequalities in the Euclidean space

Cites Work

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• Rellich type inequalities in domains of the Euclidean space
• Hardy-Rellich inequalities in domains of the Euclidean space
• Rellich inequalities with weights
• The analysis and geometry of Hardy's inequality
• Complex dynamics
• The generalized Davies problem for polyharmonic operators
• Rellich type inequalities with weights in plane domains
• Estimates of Hardy - Rellich constants for polyharmonic operators and their generalizations

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