Nonlinear periodic parabolic problems with nonmonotone discontinuities
(EN)
Papageorgiou, NS
(EN)
Kandilakis, DA
(EN)
In 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 L-p(T, W-0(l,p)(Z)).
(EN)
