Iwasawa theory for elliptic curves at unstable primes

In this paper we examine the Iwasawa theory of modular elliptic curves E defined over Q without semi-stable reduction at p. By constructing p-adic L-functions at primes of additive reduction, we formulate a 'Main Conjecture' linking this L-function with a certain Selmer group for E over the Z(p)-extension. Thus the leading term is expressible in terms of IIIE, E(Q)(tors) and a p-adic regulator term.