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Boundary value problems for a class of planar complex vector fields

This paper deals with a Riemann–Hilbert problem and a Riemann problem for a class of planar elliptic vector fields with degeneracies. Existence of Hölder continuous solutions is established when the associated index is nonnegative.

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Bibliographic Details
Published in:Journal of Differential Equations 2016-11, Vol.261 (10), p.5609-5636
Main Authors: Campana, C., Meziani, A.
Format: Article
Language:English
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Description
Summary:This paper deals with a Riemann–Hilbert problem and a Riemann problem for a class of planar elliptic vector fields with degeneracies. Existence of Hölder continuous solutions is established when the associated index is nonnegative.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2016.08.011