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Riemann-Hilbert problem for a class of hypocomplex vector fields. (English) Zbl 1375.35293
Summary: 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.

MSC:
35Q15 Riemann-Hilbert problems in context of PDEs
35F15 Boundary value problems for linear first-order PDEs
35M12 Boundary value problems for PDEs of mixed type
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