ON THE INTERIOR SPIKE SOLUTIONS FOR SOME SINGULAR PERTURBATION PROBLEMS

Authors
WEI JC
Citation
Jc. Wei, ON THE INTERIOR SPIKE SOLUTIONS FOR SOME SINGULAR PERTURBATION PROBLEMS, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 128, 1998, pp. 849-874
Citations number
24
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
128
Year of publication
1998
Part
4
Pages
849 - 874
Database
ISI
SICI code
0308-2105(1998)128:<849:OTISSF>2.0.ZU;2-K
Abstract
For some singular perturbed Dirichlet and Neumann problems in a bounde d smooth domain, we study solutions which have a spike in the interior . We obtain both necessary and sufficient conditions for the existence of interior spike solutions. We use, among others, the methods of pro jections and viscosity solutions, weak convergence of measures and Lia punov-Schmidt reduction.