Sobolev regularity for the infinity Laplace equation

Abstract: The infinity Laplace equation is a very degenerate elliptic equation. I report on Sobolev regularity of $|Du|^a$, both for solutions to the homogeneous and the inhomogeneous equation in 2d. This is joint work with Yi Ru-Ya Zhang and Yuan Zhou.

analysis of PDEs

Audience: researchers in the topic

Rio de Janeiro webinar on analysis and partial differential equations

Series comments: Talks are held twice a month; start time and day of the week may vary, according to the speaker time zone. A link to join each webinar will be made available in due time here and at sites.google.com/view/webinarpde/home