TITLE

Some local eigenvalue estimates involving curvatures

AUTHOR(S)
Fall, Mouhamed Moustapha
PUB. DATE
November 2009
SOURCE
Calculus of Variations & Partial Differential Equations;Nov2009, Vol. 36 Issue 3, p437
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We first establish a local Faber–Krahn isoperimetric comparison in terms of scalar curvature pinching. Secondly we derive estimates of Cheeger constants related to the Dirichlet and Neumann problems via the (relative) isoperimetric profiles which allow us to obtain, in particular, lower bounds for first non-zero eigenvalues of the problem of Dirichlet and Neumann. These estimates involve scalar curvature and mean curvature respectively.
ACCESSION #
44500041

 

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