In this paper we establish an higher integrability result for second derivatives of the local solution of elliptic equation
(0.1)
where
,
and
has linear growth with respect to
variable. Concerning the dependence on the x-variable, we shall
... [Show full abstract] assume that, for the map , there exists a non negative function k(x), such that
(0.2)
for every and a.e. . It is well known that there exists a relationship between this condition and the regularity of the solutions of the equation. Our pourpose is to establish an higher integrability result for second derivatives of the local solution, by assuming k(x) in a suitable Zygmund class.