Corresponding Author


Document Type

Original Article

Subject Areas

Mathematics, Statistics, Computer Science, Physics and Astronomy


Cooperative elliptic systems; Conjugation conditions; Dirichlet and Neumann conditions; Existence and uniqueness of solutions; Distributed control


The cooperative elliptic systems involving Laplace operator defined on bounded, continuous and strictly Lipschitz domains ofunder conjugation conditions are considered. First, the existence and uniqueness of the state for these systems with Dirichlet and conjugation conditions is proved, then the set of equations and inequalities that characterizes the distributed control of these systems is found. The problem with Neumann conditions is also discussed.

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