IMS Lecture Series| Institute of Mathematical Sciences
Time：Saturday, 21:50-22:40 May 2rd, 2020
Location：Zoom
Speaker: Prof. Nguyen Cong Phuc
Abstract: Recent advances in pointwise potential bounds and integral weighted estimates
are discussed for a class of quasilinear elliptic equations with measure or distributional data.
The connection of those estimates to Sobolev capacities and trace inequalities is presented.
Applications include sharp existence criteria and characterizations of removable singular sets
for doubly nonlinear equations of the form ∆pu = uq +∆, or ∆pu = jrujq +∆. Here q > 0
could be arbitrarily large, ∆p is the p-Laplacian (p > 1), and ∆ is a measure or sometimes a
general signed distribution.
（Zoom Meeting ID: 635 374 422
Password: 019690)