# Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

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

### Tom 77 / 2001

Annales Polonici Mathematici 77 (2001), 119-159 MSC: 35J20, 35J25, 35J60. DOI: 10.4064/ap77-2-2

#### Streszczenie

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 $(1_d)$.

#### Autorzy

• 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
Department of Mathematics
Wuhan Institute of Physics and Mathematics