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In this paper we consider an optimal control problem (OCP) for the coupled system of a nonlinear monotone Dirichlet problem with anisotropic p-Laplacian and matrix-valued $$L^\infty (\varOmega ,\mathbb {R}^{N\times N})$$L∞(Ω,RN×N)-controls… Click to show full abstract
In this paper we consider an optimal control problem (OCP) for the coupled system of a nonlinear monotone Dirichlet problem with anisotropic p-Laplacian and matrix-valued $$L^\infty (\varOmega ,\mathbb {R}^{N\times N})$$L∞(Ω,RN×N)-controls in its coefficients and a nonlinear equation of Hammerstein type. Using the direct method in calculus of variations, we prove the existence of an optimal control in considered problem and provide sensitivity analysis for a specific case of considered problem with respect to two-parameter regularization.
Journal Title: Ricerche di Matematica
Year Published: 2017
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