29 citations · 88 across the 15 of their papers we have counts for
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math.AP2021★ 29 cited
Regularity for nonlocal problems with non-standard growth
Jamil Chaker, Minhyun Kim, Marvin Weidner
We study robust regularity estimates for local minimizers of nonlocal functionals with non-standard growth of -type and for weak solutions to a related class of nonlocal equ…
math.AP2021
Upper heat kernel estimates for nonlocal operators via Aronson's method
Moritz Kassmann, Marvin Weidner
In his celebrated article, Aronson established Gaussian bounds for the fundamental solution to the Cauchy problem governed by a second order divergence form operator with uniformly…
math.AP2021★ 6 cited
The concentration-compactness principle for the nonlocal anisotropic -Laplacian of mixed order
Jamil Chaker, Minhyun Kim, Marvin Weidner
In this paper, we study the existence of minimizers of the Sobolev quotient for a class of nonlocal operators with an orthotropic structure having different exponents of integrabil…