Remarks on a Hardy-Sobolev inequality

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Progress in Mathematics (2013, result): “Although it was subsequently established in [SSW03], here we follow [RS17e] to present an independent proof of a more general result.”
Hardy-type inequalities related to degenerate elliptic differential operators (2006, methodology): “Thus, we shall use a modification of the idea presented in [48].”
On a semilinear elliptic equation in Hn (2008, methodology): “This was in fact proved in case μ = 0: existence of cylindrically symmetric minimizers was obtained in [6] and [25] by means of rearrengement techniques and cylindrical symmetry of any minimizer was proved in [24]; finally, using moving plane techniques, cylindrical symmetry of any positive entire s”