Preprint
Inserted: 4 jan 2026
Last Updated: 4 jan 2026
Year: 2026
Abstract:
In this paper we consider some optimal control problems governed by elliptic partial differential equations. The solution is the state variable, while the control variable is, depending on the case, the coefficient of the PDE, the potential, the right-hand side. The cost functional is of integral type and involves both the state and control variables.
Keywords: regularity, shape optimization, optimal control problems, Optimal potentials, bang-bang property, optimal coefficients
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