dc.creator | Casado Díaz, Juan | es |
dc.date.accessioned | 2022-11-10T11:22:29Z | |
dc.date.available | 2022-11-10T11:22:29Z | |
dc.date.issued | 2016-09-19 | |
dc.identifier.citation | Casado Díaz, J. (2016). A characterization result for the existence of a two-phase material minimizing the first eigenvalue. Annales de l'Institut Henri Poincaré. Analyse non linéaire, 34 (5), 1215-1226. https://doi.org/10.1016/J.ANIHPC.2016.09.006. | |
dc.identifier.uri | https://hdl.handle.net/11441/139228 | |
dc.description.abstract | Given two isotropic homogeneous materials represented by two constants 0 <α< | |, we consider here the problem consisting in finding a mixture of these materials αχω + β(1 − χω), ω ⊂ RN measurable, with |ω| ≤ κ, such that the first eigenvalue of the operator u ∈ H1 0 ( ) → −divαχω + β(1 − χω) ∇u reaches the minimum value. In a recent paper, [6], we have proved that this problem has not solution in general. On the other hand, it was proved in [1] that it has solution if is a ball. Here, we show the following reciprocate result: If ⊂ RN is smooth, simply connected and has connected boundary, then the problem has a solution if and only if is a ball. | es |
dc.format | application/pdf | es |
dc.format.extent | 11 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Annales de l'Institut Henri Poincaré. Analyse non linéaire, 34 (5), 1215-1226. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Two-phase material | es |
dc.subject | Control in the coefficients | es |
dc.subject | Eigenvalue | es |
dc.subject | Non-existence | es |
dc.title | A characterization result for the existence of a two-phase material minimizing the first eigenvalue | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | https://dx.doi.org/10.1016/J.ANIHPC.2016.09.006 | es |
dc.identifier.doi | 10.1016/J.ANIHPC.2016.09.006 | es |
dc.contributor.group | Universidad de Sevilla. FQM309: Control y Homogeneización de Ecuaciones en Derivadas Parciales | es |
dc.journaltitle | Annales de l'Institut Henri Poincaré. Analyse non linéaire | es |
dc.publication.volumen | 34 | es |
dc.publication.issue | 5 | es |
dc.publication.initialPage | 1215 | es |
dc.publication.endPage | 1226 | es |