Existence of geometric D-solutions to the Dirichlet problem for the Infinity-Laplacian which are critical points, Nikos Katzourakis (Reading)

By | January 26, 2017
The Infinity-Laplacian is a 2nd order nonlinear PDE system with discontinuous coefficients which arises in vectorial Calculus of Variations in L-Infinity when minimising the sup-norm of the gradient over a class of Lipschitz maps. In this talk I will discuss an existence result of appropriately defined “weak” solutions to the Dirichlet problem for a generalised Infinity-Laplacian which have geometric properties and are critical points of the respective energy functional. This talk is based on joint work with Giovanni Pisante and Gisela Croce.