Infante, G. and Webb, J.R.L. (2006) Loss of positivity in a nonlinear scalar heat equation. Nonlinear Differential Equations and Applications, 13(2), pp. 249-261. (doi: 10.1007/s00030-005-0039-y)
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Abstract
Using the theory of fixed point index, we discuss the existence of nontrivial (multiple) solutions of a nonlinear scalar heat equation with nonlocal boundary conditions depending on a positive parameter. Solutions lose positivity as the parameter decreases. For a certain parameter range, not all solutions can be positive but there are positive solutions for certain types of nonlinearity. We also prove a uniqueness result.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Webb, Professor Jeffrey |
| Authors: | Infante, G., and Webb, J.R.L. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Nonlinear Differential Equations and Applications |
| Journal Abbr.: | NoDEA |
| ISSN: | 1021-9722 |
| ISSN (Online): | 1420-9004 |
| Published Online: | 16 February 2006 |
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