no code implementations • 19 Dec 2019 • Gian Paolo Leonardi, Giorgio Saracco
We provide a geometric characterization of the minimal and maximal minimizer of the prescribed curvature functional $P(E)-\kappa |E|$ among subsets of a Jordan domain $\Omega$ with no necks of radius $\kappa^{-1}$, for values of $\kappa$ greater than or equal to the Cheeger constant of $\Omega$.
Analysis of PDEs 49Q10, 35J93, 49Q20
