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## On the existence of solutions of the first boundary value problem for elliptic equations on unbounded domains

International Journal of Pure and Applied Mathematics. 2013. Vol. 88. No. 4. P. 499-522.

In this paper we consider the first boundary value problem for elliptic systems, defined on unbounded domains, which solutions satisfy a condition of finiteness of the Dirichlet integral, also known as the energy integral.