27–29 Sept 2024
Department of Mathematics, NKUA
Europe/Athens timezone

Gradient Bounds and Liouville theorems for Quasi-linear equations on compact manifolds with nonnegative Ricci curvature

29 Sept 2024, 11:50
40m
Amphitheatre "Konstantin Karatheodory" (Department of Mathematics, NKUA)

Amphitheatre "Konstantin Karatheodory"

Department of Mathematics, NKUA

Panepistimiopolis Zografou Athens, ZipCode 157-84

Speaker

Dr Dimitrios Gazoulis (National and Kapodistrian University of Athens)

Description

In this talk we establish a gradient bound and Liouville-type
theorems for solutions to Quasi-linear equations on compact Riemannian
manifolds with nonnegative Ricci curvature. Moreover, we obtain a
Harnack-type inequality and an Alexandrov-Bekelman-Pucci type estimate for
the gradient of solutions in domains contained in the manifold.
(This is joint work with George Zacharopoulos, EKPA)

Primary author

Dr Dimitrios Gazoulis (National and Kapodistrian University of Athens)

Co-author

George Zacharopoulos (National and Kapodistrian University of Athens)

Presentation materials

There are no materials yet.