Nonlocal operators related to nonsymmetric forms, II: Harnack inequalities

M Kassmann, M Weidner - Analysis & PDE, 2024 - msp.org
Local boundedness and Harnack inequalities are studied for solutions to parabolic and
elliptic integrodifferential equations whose governing nonlocal operators are associated with …

Fractional -Laplacians via Neumann problems in unbounded metric measure spaces

L Capogna, R Gibara, R Korte… - arXiv preprint arXiv …, 2024 - arxiv.org
We prove well-posedness, Harnack inequality and sharp regularity of solutions to a
fractional $ p $-Laplace non-homogeneous equation $(-\Delta_p)^ su= f $, with $0< s< 1 …