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SUMMARY:Julian Haddad (Federal University of Minas Gerais)
DTSTART:20200613T153000Z
DTEND:20200613T163000Z
DTSTAMP:20260423T035815Z
UID:OAGAS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/16/">F
 rom affine Poincaré inequalities to affine spectral inequalities</a>\nby 
 Julian Haddad (Federal University of Minas Gerais) as part of Online asymp
 totic geometric analysis seminar\n\n\nAbstract\nWe develop the basic theor
 y of $p$-Rayleigh quotients in bounded domains\, in the affine case\, for 
 $p \\geq 1$. We establish p-affine versions of the affine Poincaré inequa
 lity and introduce the affine invariant $p$-Laplace operator $\\Delta_p^{\
 \mathcal A}$ defining the Euler-Lagrange equation of the minimization prob
 lem. For $p=1$ we obtain the existence of affine Cheeger sets and study pr
 eliminary results towards a possible spectral characterization of John's p
 osition.\n
LOCATION:https://researchseminars.org/talk/OAGAS/16/
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