Global regularity in Orlicz-Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients
Date
2018-05-10
Authors
Guliyev, Vagif
Ahmadli, Aysel
Omarova, Mehriban
Softova, Lubomira G.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Generalized Orlicz-Morrey spaces, Calderon-Zygmund integrals, Commutators, VMO, Elliptic equations, Dirichlet problem
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. <i>Electronic Journal of Differential Equations, 2018</i>(110), pp. 1-24.
Rights
Attribution 4.0 International