4 papers · 1 filter
Regularity theory for nonlocal equations with VMO coefficients
Simon Nowak
We prove higher regularity for nonlinear nonlocal equations with possibly discontinuous coefficients of VMO-type in fractional Sobolev spaces. While for corresponding local ellipti…
Higher integrability for nonlinear nonlocal equations with irregular kernel
Simon Nowak
We prove a higher regularity result for weak solutions to nonlinear nonlocal equations along the integrability scale of Bessel potential spaces under a mild continuity as…
Higher Hölder regularity for nonlocal equations with irregular kernel
Simon Nowak
We study the higher Hölder regularity of local weak solutions to a class of nonlinear nonlocal elliptic equations with kernels that satisfy a mild continuity assumption. An interes…
regularity theory for a class of nonlocal elliptic equations
Simon Nowak
In this paper, we study the regularity of weak solutions to a class of nonlocal elliptic equations in Bessel potential spaces . Our main results can be seen as an extensio…