On Newton's no gravity in the cavity theorem and global solutions of the obstacle problem
- Simon Eberle (Basque Center for Applied Mathematics, Bilbao)
We will investigate an old problem posed by Isaac Newton on shapes that do not produce gravity in the cavity. We will see that it can be equivalently formulated as a question on the rigidity of global solutions of the obstacle problem, a question that recently has been answered in full generality. This is joint work with A. Figalli, H. Shahgholian and G. S. Weiss.