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Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/1E51BCCB-0B0B-43D1-AF9B-07C508458D21 | ||
| Year | 1998 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | D.A. Kandilakis, N.S. Papageorgiou, "Nonlinear periodic parabolic problems with nonmonotone discontinuities," Proceedings of the Edinburgh Mathematical Society, vol. 41, no. 2, pp. 117-132, 1998. doi: http://dx.doi.org/10.1017/S0013091500019453 https://doi.org/ http://dx.doi.org/10.1017/S0013091500019453 | ||
| Appears in Collections |
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 Lp(T, S0013091500019453_inline1(Z)).
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