Mixed fully nonlinear local and nonlocal elliptic operators in Heisenberg group

Source
arXiv
Date Issued
2023-01-01
Author(s)
Oza, Priyank
Tyagi, Jagmohan
Abstract
We establish the comparison principle, existence and regularity of solutions to the following problem concerning the mixed operator: (?M+?,?D2HN ,Su- ?- ?HNs u = f in ?,u = g in HN \ ?, where M+?,?is the extremal Pucci's operator and (-?HN)s denotes the fractional sub-Laplacian on Heisenberg group
URI
Subjects
Elliptic operators
Pucci's operator
Laplacian
Heisenberg group
Comparison principle