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math.AP2022★ 14 cited
Nonlocal operators related to nonsymmetric forms II: Harnack inequalities
Moritz Kassmann, Marvin Weidner
Local boundedness and Harnack inequalities are studied for solutions to parabolic and elliptic integro-differential equations whose governing nonlocal operators are associated with…
math.AP2022★ 1 cited
Nonlocal operators related to nonsymmetric forms I: Hölder estimates
Moritz Kassmann, Marvin Weidner
The aim of this article is to develop the regularity theory for parabolic equations driven by nonlocal operators associated with nonsymmetric forms. Hölder regularity and weak Harn…
math.AP2022★ 28 cited
Harnack inequality for nonlocal problems with non-standard growth
Jamil Chaker, Minhyun Kim, Marvin Weidner
We prove a full Harnack inequality for local minimizers, as well as weak solutions to nonlocal problems with non-standard growth. The main auxiliary results are local boundedness a…