Analysis of the Fractional Sub-Laplacian I

Project Details


We set out the study of nonlocal operators in the sub-elliptic context. We aim to establish, as a first step, one of the most fundamental fact for nonnegative solutions to such equations, namely the Harnack inequality for fractional sub-Laplacians.
Effective start/end date1/08/2031/07/21

UN Sustainable Development Goals

In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This project contributes towards the following SDG(s):

  • SDG 1 - No Poverty
  • SDG 17 - Partnerships for the Goals


  • fractional sub-Laplacian
  • Harnack inequalities
  • sub-elliptic nonlocal operators.


Explore the research topics touched on by this project. These labels are generated based on the underlying awards/grants. Together they form a unique fingerprint.