Global regularity in Orlicz-Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients
dc.contributor.author | Guliyev, Vagif | |
dc.contributor.author | Ahmadli, Aysel | |
dc.contributor.author | Omarova, Mehriban | |
dc.contributor.author | Softova, Lubomira G. | |
dc.date.accessioned | 2022-02-02T21:51:34Z | |
dc.date.available | 2022-02-02T21:51:34Z | |
dc.date.issued | 2018-05-10 | |
dc.description.abstract | We 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 24 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Guliyev, 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. Electronic Journal of Differential Equations, 2018(110), pp. 1-24. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15277 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Generalized Orlicz-Morrey spaces | |
dc.subject | Calderon-Zygmund integrals | |
dc.subject | Commutators | |
dc.subject | VMO | |
dc.subject | Elliptic equations | |
dc.subject | Dirichlet problem | |
dc.title | Global regularity in Orlicz-Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients | |
dc.type | Article |