Institutional Repository
Technical University of Crete
Technical University of Crete
EN
|
EL
| URI | http://purl.tuc.gr/dl/dias/1E51BCCB-0B0B-43D1-AF9B-07C508458D21 | - |
| Identifier | https://doi.org/ http://dx.doi.org/10.1017/S0013091500019453 | - |
| Language | en | - |
| Extent | 15 | en |
| Title | Nonlinear periodic parabolic problems with nonmonotone discontinuities | en |
| Creator | Kandylakis Dimitrios | en |
| Creator | Κανδυλακης Δημητριος | el |
| Creator | Papageorgiou Nikolaos S | en |
| Description | Δημοσίευση σε επιστημονικό περιοδικό | el |
| Content Summary | 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)). | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-29 | - |
| Date of Publication | 1998 | - |
| 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 | en |
Copyright © DIAS 2013
