Simon Nowak

collaborators

3 papers

math.AP2020

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 $H^{s, p}$ under a mild continuity as…

math.AP2020

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…

math.AP2019

$H^{s, p}$ 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 $H^{s, p}$ . Our main results can be seen as an extensio…

Higher integrability for nonlinear nonlocal equations with irregular kernel

Higher Hölder regularity for nonlocal equations with irregular kernel

Hs,p regularity theory for a class of nonlocal elliptic equations

$H^{s, p}$ regularity theory for a class of nonlocal elliptic equations