Geodesic
On properties of solutions of a~class of nonlinear second-order equations
Sbornik. Mathematics, Tome 83 (1995) no. 1, pp. 67-77

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The boundary value problem $$ Lu=f(|u|) \quad \text {in}\quad \Omega , \qquad u\big|_{\partial \Omega }=w, $$ is studied, where $\Omega$ is an arbitrary, possibly unbounded, open subset of $R^n$, $L=\sum\limits_{i,j=1}^n\dfrac \partial {\partial x_i} \biggl(a_{ij}(x)\dfrac \partial {\partial x_j}\biggr)$ is a differential operator of elliptic type with measurable coefficients, and $w$, $f$ are some functions. 
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     author = {V. A. Kondrat'ev and A. A. Kon'kov},
     title = {On properties of solutions of a~class of nonlinear second-order equations},
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V. A. Kondrat'ev; A. A. Kon'kov. On properties of solutions of a~class of nonlinear second-order equations. Sbornik. Mathematics, Tome 83 (1995) no. 1, pp. 67-77. http://geodesic.mathdoc.fr/item/SM_1995_83_1_a2/