Extremal Functions for Hardy's Inequality with Weight

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Optimizing Improved Hardy Inequalities (2002, unknown): “the right hand side; see, e.g, [BM], [ BMS ], [BFT], [FHT], [GGM], [VZ].”
Hardy-type inequalities related to degenerate elliptic differential operators (2006, background): “The reader interested in the study of Hardy inequalities with remainder terms can refer to [4, 5, 10, 11, 31] and the references therein for the Euclidean case and to [19] for the case ∇L = ∇H , the Heisenberg gradient on the Heisenberg-group.”
A Geometrical Version of Hardy's Inequality (2002, unknown): “Some results from [3] were recently extended to cases with weights in [2] and to L spaces in [1].”
Some remarks on elliptic problems with critical growth in the gradient (2006, background): “c) If f(x) = 1 δ(x) , where δ(x) is the distance to the boundary, is not in L(1) but we have a Hardy inequality and that f ∈ W−1,2(Ω) (see [20]).”
Optimal Hardy–Rellich inequalities, maximum principle and related eigenvalue problem (2006, background): “To prove the above estimates on |∇uν |, |∇2uν | we proceed as in [8].”
From best constants to critical functions (2001, background): “Marcus-Shafrir [ 2 ], a very nice reference where the existence of extremal functions for weighted Hardy’s inequalities is studied.”
Hardy inequalities with optimal constants and remainder terms (2003, background): “(x) = d(x,@), being a bounded domain contained in Rn, we refer to [BM, BMS , MS].”