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

Oza, PriyankPriyankOzaTyagi, JagmohanJagmohanTyagi2025-08-312025-08-312025-02-0110.1007/s13324-025-01018-02-s2.0-85217484348http://repository.iitgn.ac.in/handle/IITG2025/28272We 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.falseIntegro-PDE | Nonlocal and local operators | Partial differential equations on the Heisenberg group | Perron’s method | Pucci’s extremal operator | Viscosity solutionsExistence and regularity of solutions to mixed fully nonlinear local and nonlocal sub-elliptic equation in the Heisenberg groupArticle1664235XFebruary 20252182WOS:001407835600002