Ricerc@Sapienza

We prove some existence results for the following Schrodinger-Maxwell system of elliptic equations:
{-div(M(x)del u) + A phi vertical bar u vertical bar(r-2) u = f, u is an element of W-0(1,2) (Omega), -div(M(x)del phi) = vertical bar u vertical bar(r), phi is an element of W-0(1,2) (Omega).
In particular, we prove the existence of a finite energy solution (u, phi) if r > 2* and f does not belong to the "dual space" L2N/N+2 (Omega).