Existence and qualitative properties of isoperimetric sets in periodic mediaReport as inadecuate




Existence and qualitative properties of isoperimetric sets in periodic media - Download this document for free, or read online. Document in PDF available to download.

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique 2 MPI-MIS - Max Planck Institute for Mathematics in the Sciences 3 Dipartimento di Matematica Pura e Applicata Padova

Abstract : We review and extend here some recent results on the existence of minimal surfaces and isoperimetric sets in non homogeneous and anisotropic periodic media. We also describe the qualitative properties of the homogenized surface tension, also known as stable norm or minimal action in Weak KAM theory. In particular we investigate its strict convexity and differentiability properties.

Keywords : Isoperimetric problems periodic homogenization





Author: Antonin Chambolle - Michael Goldman - Matteo Novaga -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents