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Lagrange multipliers in infinite dimensional spaces, examples of application

Abstract : The Lagrange multipliers method is used in Mathematical Analysis, in Mechanics, in Economics and in several other fields, to deal with the search of the global maximum or minimum of a function, in presence of a constraint. The usual technique, applied to the case of finite-dimensional systems, transforms the constrained optimization problem into an unconstrained one, by means of the introduction of one or more multipliers and of a suitable Lagrangian function, to be optimized. In Mechanics, several optimization problems can be applied to infinite-dimensional systems. Lagrange multipliers method can be applied also to these cases.
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https://hal.archives-ouvertes.fr/hal-02269765
Contributor : Christian Cardillo <>
Submitted on : Friday, August 23, 2019 - 11:32:18 AM
Last modification on : Thursday, March 5, 2020 - 3:31:33 PM
Document(s) archivé(s) le : Friday, January 10, 2020 - 1:49:21 AM

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  • HAL Id : hal-02269765, version 1

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A. Bersani, F. Dell'Isola, Pierre Seppecher. Lagrange multipliers in infinite dimensional spaces, examples of application. 2019. ⟨hal-02269765⟩

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