dc.contributor.author Zheng, S. dc.contributor.author Tian, H. dc.date.accessioned 2018-02-12T20:39:48Z dc.date.available 2018-02-12T20:39:48Z dc.date.issued 2017 dc.identifier.uri http://hdl.handle.net/20.500.11824/769 dc.description.abstract We prove global Lorentz estimates for variable power of the gradient of weak solution to linear elliptic obstacle problems with small partially BMO coefficients over a bounded nonsmooth domain. Here, we assume that the leading coefficients are measurable in one variable and have small BMO semi-norms in the other variables, variable exponents $p(x)$ satisfy log-H\"older continuity, and the boundary of domains are so-called Reifenberg flat. This is a natural outgrowth of the classical Calder\'{o}n-Zygmund estimates to a variable power of the gradient of weak solutions in the scale of Lorentz spaces for such variational inequalities beyond the Lipschitz domain. en_US dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject elliptic obstacle problems; variable power for the gradient of weak solution; Lorentz spaces; partial BMO coefficients; Reifenberg flat domains en_US dc.title Lorentz estimates for the gradient of weak solutions to elliptic obstacle problems with partially BMO coefficients en_US dc.type info:eu-repo/semantics/article en_US dc.relation.publisherversion DOI 10.1186/s13661-017-0859-9 en_US dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/669689 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/acceptedVersion en_US dc.journal.title Boundary Value Problems en_US
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