• Nikolaos Yannakakis

      Articles written in Proceedings – Mathematical Sciences

    • Nonlinear boundary value problems

      Nikolaos S Papageorgiou Nikolaos Yannakakis

      More Details Abstract Fulltext PDF

      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.

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