Stationary patterns to diffusion problems
In: Mathematical methods in the applied sciences, Jg. 23 (2000), Heft 16, S. 1467-1489
Online
academicJournal
- print, 22 ref
Zugriff:
In this paper we are giving a complete account, as λ → ∞, of all possible solutions u to the problem uxx + λf(u) = 0, u(0) = u(1) = 0 which satisfy 0 ≤ u(x) ≤ M in 0 < x < 1 for some fixed M > 0. A complete classification of them together with a detailed analysis of their limit profile, including exact location of inner layers', is given, their stability character is also determined. The analysis is completed by studying the cases where solutions u degenerate at zeros of f and considering also the p-Laplacian version of the problem where the diffusion term is replaced by the operator (|ux|p-2ux)x), p > 1.
Titel: |
Stationary patterns to diffusion problems
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Autor/in / Beteiligte Person: | GARCIA-MELIAN, J ; DE LIST, J. Sabina |
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Zeitschrift: | Mathematical methods in the applied sciences, Jg. 23 (2000), Heft 16, S. 1467-1489 |
Veröffentlichung: | Stuttgart; Chichester: Teubner, Wiley, 2000 |
Medientyp: | academicJournal |
Umfang: | print, 22 ref |
ISSN: | 0170-4214 (print) |
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