We consider a system of resonant elliptic equations and using variational methods derive suffcient conditions for solutions of the system to depend continuously on parameters. This result is employed to obtain existence of solution for some optimal control problem.
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The paper investigates the nonlinear partial differential equations of the superlinear elliptic type with the Dirichlet boundary data. Some sufficient conditions, under which the solutions of considered equations depend continuously on distributed and boundary controls, are proved. The proofs of the main results are based on variational methods.
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In this paper we consider some systems of partial differential equations with variable boundary data. Some sufficient conditions under which solutions of these systems continuously depend on boundary data are given. The proofs of the main result of this work are based on some variational methods.
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