# some references for regularity theory

I am gathering material that contains results of regularity for solutions of the equation $$\mbox{div}(A(x) \nabla u) = f$$ where the coefficints $a_{i,j}$ of $A$ are only measurable and $f \in L^p$ for some $p \in \mathbb{N}$ and $$\lambda |\xi|^{2} \le \langle A(x)\xi , \xi \rangle \le |\xi|^{2} \quad \forall x,\xi$$. Can you give me some references? Assume others hypothesis if you want. Thank you.

-
The paper "Besov regularity of elliptic boundary value problems" by Dahlke and Devore is quite insightful in the case where A=const but f and the shape of the domain boundary are rough. –  Nick Alger Jul 2 '12 at 23:00
Listed in approximate order of relevance to the question. The books 3 & 4 deal more with p-Laplace type equations, but you can still get something by setting $p=2$.