Calculus of Variations and Geometric Measure Theory

J. Manfredi - S. Mukherjee

A NOTE ON THE COMPARISON PRINCIPLE FOR DEGENERATE SUB-ELLIPTIC EQUATIONS

created by mukherjee on 14 Nov 2023

[BibTeX]

Preprint

Inserted: 14 nov 2023
Last Updated: 14 nov 2023

Year: 2023

Abstract:

We show that the comparison principle holds for smooth sub super-solutions of a class of degenerated sub-elliptic equations that include the sub-elliptic ∞-Laplacian. The equations are defined by a collection of vector fields satisfying Hormander’s rank condition and are left-invariant with respect to a Nilpotent Lie Group.


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