| dc.contributor.author | López-Gómez, Julián | |
| dc.contributor.author | Sampedro Pascual, Juan Carlos | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2025-10-27T14:34:08Z | |
| dc.date.available | 2025-10-27T14:34:08Z | |
| dc.date.issued | 2023 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.issn | 1873-5215 | |
| dc.identifier.other | PID2021-123343NB-I00 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/37976 | |
| dc.description.abstract | In this paper, we ascertain the global ?-structure of the set of positive and negative solutions bifurcating from u=0 for the semilinear elliptic BVP-dAu=Ya,Au+u+u2uqin,u=0on,according to the values of d>0 and the integer number q4. Figs. 1.1-1.3 summarize the main findings of this paper according to the values of d and q. Note that the role played by the parameter Y in this model is very special, because, besides measuring the strength of the convection, it quantifies the amplitude of the nonlinear term Yu2. We regard to this problem as a mathematical toy to generate solution loops and isolas in Reaction Diffusion equations. | es_ES |
| dc.description.sponsorship | The authors have been supported by the Research Grants PGC2018-097104-B-I00 and PID2021-123343NB-I00 of the Spanish Ministry of Science and Technology, and by the Institute of Interdisciplinar Mathematics of Complutense University. J.C. Sampedro has been also supported by the Ph.D. Grant PRE2019-1-0220 of the Basque Country Government. | es_ES |
| dc.format.extent | 33 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International © 2023 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.source | Nonlinear Analysis: Theory, Methods and Applications, 2023, 232, 113268 | es_ES |
| dc.subject.other | Loops and isolas | es_ES |
| dc.subject.other | Positive and negative solutions | es_ES |
| dc.subject.other | Bi-parametric bifurcation theory for Fredholm operators | es_ES |
| dc.title | Generating loops and isolas in semilinear elliptic BVP's | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1016/j.na.2023.113268 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1016/j.na.2023.113268 | |
| dc.type.version | publishedVersion | es_ES |