An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth

dc.creatorLederman, Claudia Beatriz
dc.creatorWolanski, Noemi Irene
dc.date.accessioned2022-08-25T02:20:46Z
dc.date.accessioned2022-10-15T11:10:46Z
dc.date.available2022-08-25T02:20:46Z
dc.date.available2022-10-15T11:10:46Z
dc.date.created2022-08-25T02:20:46Z
dc.date.issued2021-06
dc.identifierLederman, Claudia Beatriz; Wolanski, Noemi Irene; An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth; American Institute of Mathematical Sciences; Discrete And Continuous Dynamical Systems; 41; 6; 6-2021; 2907-2946
dc.identifier1078-0947
dc.identifierhttp://hdl.handle.net/11336/166512
dc.identifier1553-5231
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4379335
dc.description.abstractWe consider an optimization problem with volume constraint for an energy functional associated to an inhomogeneous operator with nonstandard growth. By studying an auxiliary penalized problem, we prove existence and regularity of solution to the original problem: every optimal configuration is a solution to a one phase free boundary problem-for an operator with nonstandard growth and non-zero right hand side-and the free boundary is a smooth surface.
dc.languageeng
dc.publisherAmerican Institute of Mathematical Sciences
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3934/dcds.2020391
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.aimsciences.org/article/doi/10.3934/dcds.2020391
dc.rightshttps://creativecommons.org/licenses/by/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFREE BOUNDARY PROBLEM
dc.subjectINHOMOGENEOUS PROBLEM
dc.subjectMINIMIZATION PROBLEM
dc.subjectNONSTANDARD GROWTH
dc.subjectOPTIMAL DESIGN
dc.subjectREGULARITY OF THE FREE BOUNDARY
dc.subjectSHAPE OPTIMIZATION
dc.subjectVARIABLE EXPONENT SPACES
dc.titleAn optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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