Nonlocal elliptic problems with a parameter
Sbornik. Mathematics, Tome 49 (1984) no. 1, pp. 197-206 Cet article a éte moissonné depuis la source Math-Net.Ru

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An elliptic equation with a parameter in a domain $Q$ with smooth boundary $\Gamma$, and boundary conditions relating the values of the function and its derivatives on $\Gamma$ with their values on a compact set $\omega\subset Q$ ($ \omega\cap\Gamma=\varnothing$), is studied, along with analogous problems on a cylinder. A priori estimates of solutions are obtained. The existence of a unique solution of the boundary value problem is proved for a sufficiently large parameter. Bibliography: 16 titles.
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A. L. Skubachevskii. Nonlocal elliptic problems with a parameter. Sbornik. Mathematics, Tome 49 (1984) no. 1, pp. 197-206. http://geodesic.mathdoc.fr/item/SM_1984_49_1_a11/

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