| The nonlinear optimization problem (2004) | |||||||||||||
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| Abstract. In this paper we study the existence and geometric properties of an optimal configuration to a nonlinear optimization problem in heat conduction. The quantity to be minimized is � Γ (x, uµ)dσ, where D is a fixed domain. A nonconstant temperature ∂D distribution is prescribed on ∂D and a volumeconstraint on theset wherethetemperature is positive is imposed. Among other regularity properties of an optimal configuration, we proveanalyticity of thefreeboundary. 1. | |||||||||||||
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