Nonlinear periodic parabolic problems with nonmonotone discontinuitiesNonlinear periodic parabolic problems with nonmonotone discontinuities Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-291998enIn this paper we consider a nonlinear periodic parabolic boundary value problem with a discontinuous nonmonotone nonlinearity. Using a lifting result for operators of type (S+), a general surjectivity theorem for operators of monotone type and an auxiliary problem defined by truncation and penalization we prove the existence of a solution in the order interval formed by an upper and lower solution. Moreover we show that the set of all such solutions is compact in Lp(T, S0013091500019453_inline1(Z)).Δημοσίευση σε επιστημονικό περιοδικό http://creativecommons.org/licenses/by/4.0/Proceedings Edinburgh Math. Soc241117-132 Kandylakis Dimitrios Κανδυλακης Δημητριος Papageorgiou Nikolaos S