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ANALYTICITY AND THEOREMS OF LIOUVILLE AND PHRAGMÉN-LINDELÖF TYPE FOR GENERAL ELLIPTIC SYSTEMS OF DIFFERENTIAL EQUATIONS

Mathematics of the USSR-Sbornik, 1974
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 Phragmen-Lindelof for harmonic functions. Theorems on the uniqueness of the solutions for elliptic
Olejnik, O. A., Radkevich, E. V.
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Behavior of the generalized solutions of second-order elliptic equations and of the systems of the elasticity theory in the neighborhood of a boundary point

Journal of Soviet Mathematics, 1986
Translation from Tr. Semin. Im. I. G. Petrovskogo 8, 135-152 (Russian) (1982; Zbl 0494.35032).
Kondrat'ev, V. A.   +2 more
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Generalized riemann–hilbert problem for a system of first-order quasi-linear elliptic equations of several complex variables

Complex Variables, Theory and Application: An International Journal, 1987
In this paper, the generalized Riemann–Hilbert problem with non-negative indices for a class of first order elliptic system of two complex variables has been investigated. Under some supposition, it is proved that the boundary value problem is solvable and the solution depends on arbitrary real constant.
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Elliptic Boundary Value Problems for General Systems of Equations with Additional Unknown Functions Defined at the Boundary of a Domain

1999
The theory of general elliptic boundary value problems for systems of equations is explained in Chapter 1 (see also [R1, Ch.X], and bibliography there).
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Sublinear elliptic systems with a convection term

Communications in Partial Differential Equations, 2020
Lucio Boccardo, Luigi Orsina
exaly  

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