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      https://www.ias.ac.in/article/fulltext/pmsc/109/02/0211-0230

    • Keywords

       

      Monotone operator; maximal monotone operator; demicontinuous operator; weakly coercive operator; surjective operator; periodic problem; Leray-Schauder principle; Sobolev space; compact embedding

    • 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.

    • Author Affiliations

       

      Nikolaos S Papageorgiou1 Nikolaos Yannakakis1

      1. Department of Mathematics, National Technical University, Zografou Campus, Athens - 157 80, Greece

    • Dates

       
      Published
      May 1999
      Manuscript received
      1 June 1998
      Manuscript revised
      24 November 1998

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