Turkish journal of mathematics

HIGHLIGHTS

  • who: Turk J Math and colleagues from the Department of Mathematics, Faculty of Science, İstanbul Commerce University, İstanbul, Turkey have published the article: Turkish Journal of Mathematics, in the Journal: (JOURNAL)

SUMMARY

    The well-known Hardy inequality in Rn, n ≥ 3, asserts that for all u ∈ C0∞ (Rn ) ( ∫ 2 Rn Though the constant ( n-2 )2 2 |∇u| dx ≥ )2 ∫ Rn |x| 2 dx. is sharp, equality in_(1.1) is never achieved by any function u ∈ H01 (Rn ). To be explicit, the author proved the following Hardy inequality ( ∫ Rn+k |∇γ u|2 . . .

     

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