Mostrar el registro sencillo del ítem
Artículo
The maximization of the p-Laplacian energy for a two-phase material
dc.creator | Casado Díaz, Juan | es |
dc.creator | Conca Rosende, Carlos | es |
dc.creator | Vásquez Varas, Donato Maximiliano | es |
dc.date.accessioned | 2023-04-13T10:53:05Z | |
dc.date.available | 2023-04-13T10:53:05Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Casado Díaz, J., Conca Rosende, C. y Vásquez Varas, D.M. (2021). The maximization of the p-Laplacian energy for a two-phase material. SIAM Journal on Mathematical Analysis, 59 (2), 1497-1519. https://doi.org/10.1137/20M1316743. | |
dc.identifier.issn | 0363-0129 | es |
dc.identifier.issn | 1095-7138 | es |
dc.identifier.uri | https://hdl.handle.net/11441/144302 | |
dc.description.abstract | We consider the optimal arrangement of two diffusion materials in a bounded openset \Omega \subset \BbbR Nin order to maximize the energy. The diffusion problem is modeled by thep-Laplacianoperator. It is well known that this type of problem has no solution in general and then that it is nec-essary to work with a relaxed formulation. In the present paper, we obtain such relaxed formulationusing the homogenization theory; i.e., we replace both materials by microscopic mixtures of them.Then we get some uniqueness results and a system of optimality conditions. As a consequence, weprove some regularity properties for the optimal solutions of the relaxed problem. Namely, we showthat the flux is in the Sobolev spaceH1(\Omega )Nand that the optimal proportion of the materials isderivable in the orthogonal direction to the flux. This will imply that the unrelaxed problem has nosolution in general. Our results extend those obtained by the first author for the Laplace operator. | es |
dc.format | application/pdf | es |
dc.format.extent | 23 p. | es |
dc.language.iso | eng | es |
dc.publisher | SIAM Publications Library | es |
dc.relation.ispartof | SIAM Journal on Mathematical Analysis, 59 (2), 1497-1519. | |
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 | P-Laplacian operator | es |
dc.subject | Relaxation | es |
dc.subject | Smoothness | es |
dc.subject | Nonexistence | es |
dc.title | The maximization of the p-Laplacian energy for a two-phase material | 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 | http://doi.org/10.1137/20M1316743 | es |
dc.identifier.doi | 10.1137/20M1316743 | es |
dc.journaltitle | SIAM Journal on Mathematical Analysis | es |
dc.publication.volumen | 59 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 1497 | es |
dc.publication.endPage | 1519 | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
20m1316743.pdf | 443.9Kb | [PDF] | Ver/ | |