29 citations · 116 across the 9 of their papers we have counts for
4 papers · 2 filters
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…
Local regularity for nonlocal equations with variable exponents
Jamil Chaker, Minhyun Kim
In this paper, we study local regularity properties of minimizers of nonlocal variational functionals with variable exponents and weak solutions to the corresponding Euler--Lagrang…
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…
Regularity estimates for fractional orthotropic -Laplacians of mixed order
Jamil Chaker, Minhyun Kim
We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequalit…