数学科学研究所
Insitute of Mathematical Science

IMS Lecture Series: Potential theory and doubly nonlinear PDEs: estimates, existence, and removable sets, Part 1

IMS Lecture Series| Institute of Mathematical Sciences

Time:Saturday, 21:50-22:40 May 2rd, 2020

LocationZoom

 

Speaker:  Prof. Nguyen Cong Phuc

AbstractRecent 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)


  




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