Event description
Aim of the talk is to present an existence result to the anisotropic 1-Laplace problem with Dirichlet boundary condition and a signed, Radon measure as a datum. Our approach consists in proving the existence of BV-minimizers for the corresponding integral functional. In doing so, we characterize the appropriate assumptions for the measure in order to obtain lower-semicontinuity of the anisotropic integral functional, and discuss a refined LSC result in the related parametric case (joint work with Thomas Schmidt, Universität Hamburg).
(Abstract dettagliato in locandina)