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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Winter, M | - |
dc.contributor.author | Wei, J | - |
dc.coverage.spatial | 31 | en |
dc.date.accessioned | 2007-01-15T12:39:47Z | - |
dc.date.available | 2007-01-15T12:39:47Z | - |
dc.date.issued | 1999 | - |
dc.identifier.citation | J London Math Soc 59 (1999), 585-606 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/517 | - |
dc.description.abstract | In this paper we are concerned with a wide class of singular perturbation problems arising from such diverse fields as phase transitions, chemotaxis, pattern formation, population dynamics and chemical reaction theory. We study the corresponding elliptic equations in a bounded domain without any symmetry assumptions. We assume that the mean curvature of the boundary has \overline{M} isolated, non-degenerate critical points. Then we show that for any positive integer m\leq \overline{M} there exists a stationary solution with M local peaks which are attained on the boundary and which lie close to these critical points. Our method is based on Liapunov-Schmidt reduction. | en |
dc.format.extent | 235860 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Cambridge University Press | en |
dc.subject | Nonlinear Elliptic Equations | en |
dc.subject | Phase Transition | en |
dc.title | Multi-Peak Solutions for a Wide Class of Singular Perturbation Problems | en |
dc.type | Research Paper | en |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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9-mult9.pdf | 230.33 kB | Adobe PDF | View/Open |
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