On shape and multiplicity of solutions for a singularly perturbed Neumann problem

Volume 77 / 2001

J. Chabrowski, Peter J. Watson, Jianfu Yang Annales Polonici Mathematici 77 (2001), 119-159 MSC: 35J20, 35J25, 35J60. DOI: 10.4064/ap77-2-2

Abstract

We investigate the effect of the topology of the boundary $\partial {\mit \Omega }$ and of the graph topology of the coefficient $Q$ on the number of solutions of the nonlinear Neumann problem $(1_d)$.

Authors

  • J. ChabrowskiDepartment of Mathematics
    The University of Queensland
    Brisbane 4072, Qld, Australia
    e-mail
  • Peter J. WatsonDepartment of Mathematics
    The University of Queensland
    Brisbane 4072, Qld, Australia
  • Jianfu YangPermanent address:
    Department of Mathematics
    Wuhan Institute of Physics and Mathematics
    Chinese Academy of Sciences
    P.O.Box 71010
    Wuhan 430071, P.R. China
    Current address:
    ECC-UNICAMP
    13083-970, Campinas, S.P. Brazil

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