Geodesic
Analyticity and theorems of Liouville and Phragm\'en--Lindel\"of type for general elliptic systems of differential equations
Sbornik. Mathematics, Tome 24 (1974) no. 1, pp. 127-143

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Certain theorems on the analyticity of solutions of elliptic equations are used to prove theorems on the behavior of solutions of general elliptic systems of differential equations in unbounded regions, analogous to the classical theorems of Liouville and Phragmén–Lindelöf for harmonic functions. Theorems on the uniqueness of the solutions for elliptic boundary-value problems are also proved. Bibliography: 9 titles. 
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     author = {O. A. Oleinik and E. V. Radkevich},
     title = {Analyticity and theorems of {Liouville} and {Phragm\'en--Lindel\"of} type for general elliptic systems of differential equations},
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O. A. Oleinik; E. V. Radkevich. Analyticity and theorems of Liouville and Phragm\'en--Lindel\"of type for general elliptic systems of differential equations. Sbornik. Mathematics, Tome 24 (1974) no. 1, pp. 127-143. http://geodesic.mathdoc.fr/item/SM_1974_24_1_a6/