• Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • Keywords


      Maximal monotone operator; pseudomonotone operator; Hartman condition; vectorp-Laplacian; convex and nonconvex problems; Leray-Schauder alternative

    • Abstract


      In this paper we study nonlinear second-order differential inclusions involving the ordinary vectorp-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions. Our framework is general and unifying and incorporates gradient systems, evolutionary variational inequalities and the classical boundary value problems, namely the Dirichlet, the Neumann and the periodic problems. Using notions and techniques from the nonlinear operator theory and from multivalued analysis, we obtain solutions for both the ‘convex’ and ‘nonconvex’ problems. Finally, we present the cases of special interest, which fit into our framework, illustrating the generality of our results.

    • Author Affiliations


      Leszek Gasiński1 Nikolaos S Papageorgiou1 2

      1. Institute of Computer Science, Jagiellonian University, Nawojki 11, Cracow - 30072, Poland
      2. Department of Mathematics, National Technical University, Zografou Campus, Athens - 15780, Greece
    • Dates

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.