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Boundary value problems for a class of planar complex vector fields. (English) Zbl 1352.35086
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.

35Q15 Riemann-Hilbert problems in context of PDEs
35A01 Existence problems for PDEs: global existence, local existence, non-existence
Full Text: DOI
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