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

J. Chabrowski; Peter J. Watson; Jianfu Yang

doi:10.4064/ap77-2-2

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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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