The Strong Maximum Principle and the Harnack inequality for a class of hypoelliptic non-Hörmander operators
The Strong Maximum Principle and the Harnack inequality for a class of hypoelliptic non-Hörmander operators
We consider a class of hypoelliptic second-order operators ℒ in divergence form, arising from CR geometry and Lie group theory, and we prove the Strong and Weak Maximum Principles and the Harnack Inequality. The operators are not assumed in the Hörmander hypoellipticity class, nor to satisfy subelliptic estimates or Muckenhoupt-type …