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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Monotonicity formulas in linear and nonlinear potential theory

## Monotonicity formulas in linear and nonlinear potential theoryAdd to your list(s) Download to your calendar using vCal - Virginia Agostiniani (Università degli Studi di Verona)
- Wednesday 20 February 2019, 16:00-17:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. DNM - The mathematical design of new materials In this talk, we rst recall how some monotonicity formulas can be derived along the level set ow of the capacitary potential associated with a given bounded domain. A careful analysis is required in order to preserve the monotonicity across the singular times, leading in turn to a new quantitative version of the Willmore inequality. Remarkably, such 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-capacitary potential of whose critical set, for p 6= 2, is not necessarily negligible. In this context, a generalised version of the Minkowski inequality is deduced. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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