Geodesic
On an analogue of the Riemann–Hilbert problem for a non-linear perturbation of the Cauchy–Riemann operator
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 4, pp. 427-431
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We consider a non-linear perturbation of a famous Riemann–Hilbert problem on the recovering of a holomorphic function in a domain via its real part on the boundary. We get an information on the local structure of the solutions and give sufficient conditions for their real analyticity. A simple instructive example is considered.
Keywords: the Cauchy-Riemann operator, non-linear Riemann-Hilbert problem. 
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Yulia L. Cherepanova; Alexander A. Shlapunov. On an analogue of the Riemann–Hilbert problem for a non-linear perturbation of the Cauchy–Riemann operator. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 4, pp. 427-431. http://geodesic.mathdoc.fr/item/JSFU_2016_9_4_a2/

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