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math.AP2026
Local Boundedness of a Direction Dependent Double Phase Nonlocal Elliptic Equation
Hamid El Bahja
This paper investigates the local boundedness of weak solutions to a direction-dependent double-phase nonlocal elliptic equation. By employing refined energy estimates and De Giorg…
math.AP2024
Regularity for obstacle problems to anisotropic parabolic equations
Hamid El Bahja
Following Dibenedetto's intrinsic scaling method, we prove local Hölder continuity of weak solutions to obstacle problems related to some anisotropic parabolic equations under the…