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 date||1/08/20 → 31/07/21|
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):
- fractional sub-Laplacian
- Harnack inequalities
- sub-elliptic nonlocal operators.
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