Proves existence of C_N such that ∫ |∇(u/|x|)|^N dx ≤ C_N ∫ |Δu|^N dx for all u in C^∞_c(R^N minus {0}).
Costa,On Hardy-Rellich type inequalities inRN, Appl
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A critical Hardy-Rellich inequality
Proves existence of C_N such that ∫ |∇(u/|x|)|^N dx ≤ C_N ∫ |Δu|^N dx for all u in C^∞_c(R^N minus {0}).