Geodesic
On the univalence of solutions of second order elliptic equations in the unit disk on the plane
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 43, Tome 434 (2015), pp. 91-100

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Sufficient conditions on a function continuous on the unit circle are found ensuring that the solution of the Dirichlet problem in the unit disk for a certain second order partial differential equation with this boundary function is a homeomorphism of the unit disk onto a simply connected Jordan domain. 
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     author = {A. B. Zaitsev},
     title = {On the univalence of solutions of second order elliptic equations in the unit disk on the plane},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {91--100},
     publisher = {mathdoc},
     volume = {434},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_434_a7/}
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A. B. Zaitsev. On the univalence of solutions of second order elliptic equations in the unit disk on the plane. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 43, Tome 434 (2015), pp. 91-100. http://geodesic.mathdoc.fr/item/ZNSL_2015_434_a7/