Construction of explicit $p$-harmonic functions

Abstract: The study of $p$-harmonic functions on Riemannian manifolds has invoked the interest of mathematicians and physicists for nearly two centuries. Applications within physics can for example be found in continuum mechanics, elasticity theory, as well as two-dimensional hydrodynamics problems involving Stokes ows of incompressible Newtonian fluids.

In my talk I will focus on the construction of explicit $p$-harmonic functions on rank-one Lie groups of Iwasawa type. This joint wok with Sigmundur Gudmundsson and Marko Sobak.

differential geometryspectral theory

Audience: researchers in the topic

( video )

---

Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, send a message to geometrywithsymmetries@gmail.com requiring it.

---