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Hardy and Rellich inequality on lattices

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Publication:2677329
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DOI10.1007/s00526-022-02407-0zbMath1506.39003arXiv2205.07221OpenAlexW4315567937MaRDI QIDQ2677329

Shubham Gupta

Publication date: 13 January 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.07221


zbMATH Keywords

asymptotic behaviourHardy inequalitysharp constantRellich inequality


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Discrete version of topics in analysis (39A12)


Related Items (1)

One‐dimensional sharp discrete Hardy–Rellich inequalities




Cites Work

  • Unnamed Item
  • The analysis and geometry of Hardy's inequality
  • On continuous and discrete Hardy inequalities
  • On the spectral estimates for the Schrödinger operator on \(\mathbb Z^d\), \(d \geqslant 3\)
  • Explicit constants for Rellich inequalities in \(L_p(\Omega)\)
  • Optimal Hardy inequalities for Schrödinger operators on graphs
  • On spectral estimates for the Schrödinger operators in global dimension 2
  • An Improved Discrete Hardy Inequality
  • From Hardy to Rellich inequalities on graphs




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