Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs

Five papers from a February-March virtual conference hosted by Purdue University explore mathematics at the intersection of viscosity theory, Fourier analysis, mass transport theory, fractional elliptic theory, and geometrics. They cover a deterministic counterexample for high-dimensional Strichartz estimates for the Wave equation, on the Liouville property for fully nonlinear equations with superlinear first-order terms, the regularity of the solution to the principal-agent problem, the doubly monotone flow for constant width bodies in , and a fractional glance to the theory of edge dislocations.