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dc.contributor.author Alama, S
dc.contributor.author Bronsard, L
dc.contributor.author Topaloglu, I
dc.contributor.author Zuniga, A
dc.date.accessioned 2024-01-17T15:53:55Z
dc.date.available 2024-01-17T15:53:55Z
dc.date.issued 2020
dc.identifier.uri https://repositorio.uoh.cl/handle/611/279
dc.description.abstract We consider the minimization of an energy functional given by the sum of a density perimeter and a nonlocal interaction of Riesz type with exponent alpha, under volume constraint, where the strength of the nonlocal interaction is controlled by a parameter gamma. We show that for a wide class of density functions the energy admits a minimizer for any value of gamma. Moreover these minimizers are bounded. For monomial densities of the form vertical bar x vertical bar(p) we prove that when gamma is sufficiently small the unique minimizer is given by the ball of fixed volume. In contrast with the constant density case, here the gamma -> 0 limit corresponds, under a suitable rescaling, to a small mass m = vertical bar Omega vertical bar -> 0 limit when p < d - alpha + 1, but to a large mass m -> infinity for powers p > d - alpha + 1.
dc.description.sponsorship NSERC (Canada)(Natural Sciences and Engineering Research Council of Canada (NSERC))
dc.description.sponsorship ANID Chile under grants Becas Chile de Postdoctorado en el Extranjero
dc.description.sponsorship FONDECYT de Iniciacion en Investigacion(Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)CONICYT FONDECYT)
dc.relation.uri http://dx.doi.org/10.1007/s00526-020-01865-8
dc.title A nonlocal isoperimetric problem with density perimeter
dc.type Artículo
uoh.revista CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
dc.identifier.doi 10.1007/s00526-020-01865-8
dc.citation.volume 60
dc.citation.issue 1
dc.identifier.orcid Topaloglu, Ihsan/0000-0003-4584-156X
dc.identifier.orcid Zuniga, Andres/0000-0002-5008-4236
uoh.indizacion Web of Science


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