Viscosity solutions to the given nonlocal double phase equation have Hölder continuous gradients when a is Lipschitz and |tq - sp| is sufficiently small.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes comparison principle and equivalence results between weak and viscosity supersolutions for nonhomogeneous mixed local-nonlocal p-Laplace equations in bounded Lipschitz domains.
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Gradient H\"{o}lder regularity for nonlocal double phase equations
Viscosity solutions to the given nonlocal double phase equation have Hölder continuous gradients when a is Lipschitz and |tq - sp| is sufficiently small.
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On weak and viscosity solutions to a nonhomogeneous mixed local-nonlocal equation
Establishes comparison principle and equivalence results between weak and viscosity supersolutions for nonhomogeneous mixed local-nonlocal p-Laplace equations in bounded Lipschitz domains.