Extrinsic upper bounds for the first eigenvalue of the p -steklov problem on submanifolds

HIGHLIGHTS

  • who: from the (UNIVERSITY) have published the research: Extrinsic upper bounds for the first eigenvalue of the p -Steklov problem on submanifolds, in the Journal: (JOURNAL)
  • what: Always if r is even, the authors show easily that HTr=c(r)Hr+1, where HTr is given by the relation .

SUMMARY

    More generally, Reilly obtained the following inequalities for r ∈ {0, · · ·, n} Z λ1 (∆) Hr dvg M Z 6 V (M ) 2 Hr+1 dvg, M where Hr and Hr+1 stands for the higher order mean curvatures (that the authors will . . .

     

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