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Nonlinear boundary value problems |
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| Authors: | Nikolaos S Papageorgiou Nikolaos Yannakakis |
| Institution: | (1) Department of Mathematics, National Technical University, Zografou Campus, 157 80 Athens, Greece |
| Abstract: | In this paper we consider two quasilinear boundary value problems. The first is vector valued and has periodic boundary conditions. The second is scalar valued with nonlinear boundary conditions determined by multivalued maximal monotone maps. Using the theory of maximal monotone operators for reflexive Banach spaces and the Leray-Schauder principle we establish the existence of solutions for both problems. |
| Keywords: | Monotone operator maximal monotone operator demicontinuous operator weakly coercive operator surjective operator periodic problem Leray-Schauder principle Sobolev space compact embedding |
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