University of Rome
"Tor Vergata"
Department of Mathematics
PhD Course 2021-2022
An introduction
to Liouville Equations
with Applications
The lectures will be delivered each
Monday, Wednesday and Thursday at 15:00 (3 p.m.) starting on Monday,
November 08 2021.
The course is organized in four parts as follows:
- November 08, 10, 11 -
D. Bartolucci (University of Rome "Tor Vergata")
Introduction to Liouville type equations: applications, variational
formulation, concentration-compactness-quantization.
- November 15, 17, 18 -
A. Jevnikar (University of Udine)
Variational analysis of Liouville type equations: existence results.
- November 22, 24, 25 -
R. Lopez-Soriano (Universidad Carlos III de Madrid)
The role of sign-changing potentials in Liouville-type equations:
compactness and existence.
- November 29, December 1, 2 - D. Ruiz (Universidad de
Granada)
Prescribing Gaussian and geodesic curvatures on surfaces with
boundary via conformal changes of the metric.
The course will be held in
blended form: in presence in Aula 2001 (Department of Mathematics),
online through the Microsoft Teams platform.
The link to have access the lectures will be posted here each Monday,
Wednesday and Thursday morning.
Please contact the organizers at bartoluc (at) mat.uniroma2.it if you
wish to have direct access to the team of the course.
Any further updates will be posted on the team and on this web page.
Organizers: D. Bartolucci, G.
Tarantello.
The course is part of the MIUR
Excellence Department Project MATH@TOV CUP E83C18000100006 and is
partially funded by the project "Beyond Borders" (2019) sponsored by the
University of Rome "Tor Vergata".