Geodesic
On nonlinear equations of the~form $F(x,u,Du,\Delta u)=0$
Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 367-392

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The Dirichlet problem for equations of the form $F(x,u,Du,\Delta u)=0$ and also the initial boundary value problem for a parabolic equation with a nonlinearity are studied. 
@article{SM_1995_80_2_a5,
     author = {K. N. Soltanov},
     title = {On nonlinear equations of the~form $F(x,u,Du,\Delta u)=0$},
     journal = {Sbornik. Mathematics},
     pages = {367--392},
     publisher = {mathdoc},
     volume = {80},
     number = {2},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_80_2_a5/}
}
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K. N. Soltanov. On nonlinear equations of the~form $F(x,u,Du,\Delta u)=0$. Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 367-392. http://geodesic.mathdoc.fr/item/SM_1995_80_2_a5/