A constrained shape optimization problem in Orlicz-Sobolev spaces
In this manuscript we study the following optimization problem: given a bounded and regular domain Ω⊂RN we look for an optimal shape for the “W−vanishing window” on the boundary with prescribed measure over all admissible profiles in the framework of the Orlicz-Sobolev spaces associated to constant...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/136395 |
| Acesso em linha: | http://hdl.handle.net/11336/136395 |
| Access Level: | acceso abierto |
| Palavra-chave: | NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ORLICZ-SOBOLEV SPACES SHAPE OPTIMIZATION PROBLEMS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | In this manuscript we study the following optimization problem: given a bounded and regular domain Ω⊂RN we look for an optimal shape for the “W−vanishing window” on the boundary with prescribed measure over all admissible profiles in the framework of the Orlicz-Sobolev spaces associated to constant for the “Sobolev trace embedding”. In this direction, we establish existence of minimizer profiles and optimal sets, as well as we obtain further properties for such extremals. Finally, we also place special emphasis on analyzing the corresponding optimization problem involving an “A−vanishing hole” (inside the domain) with volume constraint. |
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