A simple approach to Hardy inequalities

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Hardy inequalities related to Grushin type operators (2003, methodology): “For this goal we shall mainly use a technique developed in [5] and [16].”
Hardy inequalities with optimal constants and remainder terms (2003, methodology): “In the Lp-setting further types of Rellich inequalities have also been proved in [DH, p. 520], [ Mi ].”
Existence, non-existence and regularity of radial ground states for p-Laplacian equations with singular weights (2008, unknown): “, [2,12,20,34]) and the Caffarelli–Kohn–Nirenberg inequality [9].”
Remarks on a Hardy-Sobolev inequality (2003, background): “Proof : See [3,6] and also [5], where many generalizations are proved.”
Hardy inequalities on Riemannian manifolds and applications (2012, methodology): “For this goal we shall mainly use a technique introduced by Mitidieri in [45] and developed in [18–20] and in [7,8].”