Critical variational problems in the space of functions of bounded variation

Michel Willem

(UCL, Louvain, Belgium)

Event: ERC Workshop on Existence and Regularity for Nonlinear Systems of Partial Differential Equations

Date: Jul 01, 2014, time: 11:50

Abstract. We prove, by a new elementary method, the existence of optimal functions for the
Poincaré inequality in BV. Using a relative isoperimetric inequality, we prove also
some estimates for the best constant of the Poincaré inequality.