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Nonlinear boundary value problems

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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.

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Authors and Affiliations

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

    Nikolaos S. Papageorgiou & Nikolaos Yannakakis

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  1. Nikolaos S. Papageorgiou
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  2. Nikolaos Yannakakis
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Correspondence to Nikolaos S. Papageorgiou.

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Papageorgiou, N.S., Yannakakis, N. Nonlinear boundary value problems. Proc. Indian Acad. Sci. (Math. Sci.) 109, 211–230 (1999). https://doi.org/10.1007/BF02841535

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  • DOI: https://doi.org/10.1007/BF02841535

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