Geodesic
A~global boundary-value problem for a~quasilinear differential equation of first order
Izvestiya. Mathematics , Tome 8 (1974) no. 6, pp. 1387-1431.

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In a bounded domain $D$ of the space $R^n$ of the variables $x_1,\dots,x_n$ the first boundary-value problem for equation (1) is investigated. 
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É. B. Bykhovskii. A~global boundary-value problem for a~quasilinear differential equation of first order. Izvestiya. Mathematics , Tome 8 (1974) no. 6, pp. 1387-1431. http://geodesic.mathdoc.fr/item/IM2_1974_8_6_a12/

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