Abstract
This paper deals with a semilinear Riemann–Hilbert problem for a class of planar elliptic vector fields with degeneracies. Existence of Hölder continuous solutions is established when the associated index is nonnegative.
Acknowledgements
This work was done when the first and second authors were visiting the Department of Mathematics & Statistics at Florida International University. They are grateful and would like to thank the members of the host institution for the support they provided during the visit.
Notes
No potential conflict of interest was reported by the authors.