Conference on Qualitative and Geometric Aspects of Elliptic EPD's
Objective.- In the last decades a great interest has arisen in elliptic PDEs originating from geometric problems and, conversely, important geometric objects often reach a deeper comprehension through the analytical techniques developed in elliptic PDEs. One of the aims of the conference is to bring together experts from both fields. Another topic which has attracted attention and has seen important developements in the last years concerns nonlinear elliptic and parabolic PDEs with fractional diffusion.
Special emphasis will be put on: 1) Existence and symmetry properties of solutions to the Allen-Cahn and related equations, including free boundary problems, 2) Minimal surfaces and isoperimetric inequalities, 3) Fractional diffusion and front propagation