© 2018 Elsevier Masson SAS We study the regularity of solutions of elliptic fractional systems of order 2s, s∈(0,1), where the right hand side f depends on a nonlocal gradient and has the same scaling properties as the nonlocal operator. Under some structural conditions on the system we prove interior Hölder estimates in the spirit of . Our results are stable in s allowing us to recover the classic results for elliptic systems due to S. Hildebrandt and K. Widman  and M. Wiegner .
|Journal||Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire|
|Publication status||Published - 1 Jan 2018|