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Vietnam Journal of Mathematics 33:4 (2005) 381-389

On a System of Semilinear Elliptic Equations on an Unbounded Domain 

Hoang Quoc Toan

Abstract.  In this paper we study the existence of weak solutions of the Dirichlet problem for a system of semilinear elliptic equations on an unbounded domain in Rⁿ. The proof is based on a fixed point theorem in Banach spaces.

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