Necessary and sufficient conditions are found for weighted Rellich inequalities in Lp on bounded domains with zero boundary values for operators of the form L = Δ + c|x|^{-2}x·∇ - b|x|^{-2}, including critical cases and remainder terms.
Morimoto: Analytic Functionals on the Sphere, American Mathematical Soc., Trans- lations of mathematical monographs, 178 (1998)
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Rellich inequalities in bounded domains
Necessary and sufficient conditions are found for weighted Rellich inequalities in Lp on bounded domains with zero boundary values for operators of the form L = Δ + c|x|^{-2}x·∇ - b|x|^{-2}, including critical cases and remainder terms.