Global regularity in Orlicz-Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients

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dc.contributor.authorGuliyev, Vagif
dc.contributor.authorAhmadli, Aysel
dc.contributor.authorOmarova, Mehriban
dc.contributor.authorSoftova, Lubomira G.
dc.date.accessioned2022-02-02T21:51:34Z
dc.date.available2022-02-02T21:51:34Z
dc.date.issued2018-05-10
dc.description.abstractWe show continuity in generalized Orlicz-Morrey spaces MΦ,φ(ℝn) of sublinear integral operators generated by Calderón-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operator L = ∑ni,j=1 a ij(x)Dij with discontinuous coefficients. We show that Lu ∈ MΦ,φ implies the second-order derivatives belong to MΦ,φ.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGuliyev, V. S., Ahmadli, A. A., Omarova, M. N., & Softova, L. (2018). Global regularity in Orlicz-Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients. <i>Electronic Journal of Differential Equations, 2018</i>(110), pp. 1-24.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15277
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectGeneralized Orlicz-Morrey spaces
dc.subjectCalderon-Zygmund integrals
dc.subjectCommutators
dc.subjectVMO
dc.subjectElliptic equations
dc.subjectDirichlet problem
dc.titleGlobal regularity in Orlicz-Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficientsen_US
dc.typeArticle

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