A class of planar vector fields with homogeneous singular points: Solvability and boundary value problems

摘要

This paper deals with the solvability of planar complex vector fields with homogeneous degeneracies. Holder continuous solutions are obtained via a Cauchy type integral operator associated to the vector field. An associated boundary value problem of Riemann-Hilbert type is also considered. (C) 2018 Elsevier Inc. All rights reserved.