Geodesic
On the asymptotic properties and necessary conditions for existence of solutions of nonlinear second order elliptic equations
Sbornik. Mathematics, Tome 35 (1979) no. 6, pp. 823-849 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper functions $u(x)$ satisfying the inequality $L(u)+k(x)f(u)\leqslant0$ in a domain $\Omega$ are studied. Here $L(u)$ is a linear second order elliptic operator with positive definite characteristic form, $k(x)\geqslant0$, and $f(u)$ is defined in an interval $u^-, in which $f(u)>0$, $f'(u)\geqslant0$ and $\int_u^{u^+}\frac{ds}{f(s)}<\infty$. Bibliography: 13 titles. 
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     title = {On the asymptotic properties and necessary conditions for existence of solutions of nonlinear second order elliptic equations},
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I. Kametaka; O. A. Oleinik. On the asymptotic properties and necessary conditions for existence of solutions of nonlinear second order elliptic equations. Sbornik. Mathematics, Tome 35 (1979) no. 6, pp. 823-849. http://geodesic.mathdoc.fr/item/SM_1979_35_6_a3/

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