[CvGmt News] [cvgmt seminar] Geometric and analytic aspects of $\infty$-Poincar\'e inequalities

[ambrosio at sns.it]

Geometric and analytic aspects of $\infty$-Poincar\'e inequalities
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http://cvgmt.sns.it/seminar/639/

Date: Monday, May 14, 2018

Time: 10:00

Place: Scuola Normale Superiore, Aula Marie Curie

Speaker: Nageswari Shanmugalingam



Abstract. The study of absolute minimizing Lipschitz extensions and infinity-harmonic
functions in the Euclidean setting was initiated by Aronsson, Crandall and Evans, and is of
great interest now, with optimal regularity of solutions yet open. In the metric setting,
and indeed even in the weighted Euclidean setting, studies of such solutions are possible
under certain conditions on the metric space. One condition is the existence of
$\infty$-harmonic function. In this talk we will discuss this inequality, and a
geometric and analytic characterizations of this inequality.