The paper is devoted to some extensions of the joint results by N. V. Krylov and the author on the Harnack inequalities for second order elliptic and parabolic equations in nondivergence form to metric spaces of homogeneous type. The main tools are special Landis-type growth theorems.
Bibliographical noteFunding Information:
The author is thankful to Nicolai V. Krylov for stimulating conversations.
© 2021. American Mathematical Society.
- Covering lemmas
- Harnack inequality
- quasimetric spaces