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SUMMARY:Monotonicity formulas in linear and nonlinear potential theory - V
 irginia Agostiniani (Università degli Studi di Verona)
DTSTART:20190220T160000Z
DTEND:20190220T170000Z
UID:TALK120607@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this talk\, we &#12\;rst recall how some monotonicity formu
 las can be derived along the level set ow of the capacitary potential asso
 ciated with a given bounded domain. A careful analysis is required in orde
 r to preserve the monotonicity across the singular times\, leading in turn
  to a new quantitative version of the Willmore inequality. Remarkably\, su
 ch analysis can be carried out without any a priori knowledge of the size 
 of the singular set. Hence\, the same order of ideas applies to the p-capa
 citary potential of whose critical set\, for p 6= 2\, is not necessarily n
 egligible. In this context\, a generalised version of the Minkowski inequa
 lity is deduced.<br>Joint works with M. Fogagnolo and L. Mazzieri.<br><br>
LOCATION:Seminar Room 2\, Newton Institute
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