Existence and regularity of solutions to mixed fully nonlinear local and nonlocal sub-elliptic equation in the Heisenberg group
Oza P. Tyagi J.
February 2025Birkhauser
Analysis and Mathematical Physics
2025#15Issue 1
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.
Integro-PDE , Nonlocal and local operators , Partial differential equations on the Heisenberg group , Perron’s method , Pucci’s extremal operator , Viscosity solutions
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Department of Mathematics, Nazarbayev University, Astana, 010000, Kazakhstan
Indian Institute of Technology Gandhinagar Palaj, Gujarat, Gandhinagar, 382055, India
Department of Mathematics
Indian Institute of Technology Gandhinagar Palaj
10 лет помогаем публиковать статьи Международный издатель
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