Existence and regularity of solutions to mixed fully nonlinear local and nonlocal sub-elliptic equation in the Heisenberg group

Source
Analysis and Mathematical Physics
ISSN
16642368
Date Issued
2025-02-01
Author(s)
Oza, Priyank
DOI
Volume
15
Issue
1
Abstract
We establish the comparison principle, existence and regularity of solutions to the following problem concerning the mixed operator: (Formula presented.) where Mλ,Λ+ is the Pucci’s extremal operator and (-ΔHN)s denotes the fractional sub-Laplacian on the Heisenberg group HN.
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URI
Subjects
Integro-PDE | Nonlocal and local operators | Partial differential equations on the Heisenberg group | Perron’s method | Pucci’s extremal operator | Viscosity solutions