Oza, PriyankPriyankOzaTyagi, JagmohanJagmohanTyagi2025-08-282025-08-282023-01-01https://arxiv.org/abs/2301.03253https://d8.irins.org/handle/IITG2025/20112We 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 groupen-USElliptic operatorsPucci's operatorLaplacianHeisenberg groupComparison principlee-Printe-Print123456789/555