Geodesic
Nonlocal elliptic problems with a~parameter
Sbornik. Mathematics, Tome 49 (1984) no. 1, pp. 197-206

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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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     author = {A. L. Skubachevskii},
     title = {Nonlocal elliptic problems with a~parameter},
     journal = {Sbornik. Mathematics},
     pages = {197--206},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_49_1_a11/}
}
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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/