On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above $p$

Let pbe an odd prime. We attach appropriate signed Selmer groups to an elliptic curve E where Eis assumed to have semistable reduction at all primes above p We then compare the Iwasawa \lambdainvariants of these signed Selmer groups for two congruent elliptic curves over the cyclotomic \mathbb{Z}_pextension in the spirit of Greenberg-Vatsal and B. D. Kim. As an application of our comparsion formula, we show that if the...