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On problems in the calculus of variations in increasingly elongated domains

Abstract : We consider minimization problems in the calculus of variations set in a sequence of domains the size of which tends to infinity in certain directions and such that the data only depend on the coordinates in the directions that remain constant. We study the asymptotic behavior of minimizers in various situations and show that they converge in an appropriate sense toward minimizers of a related energy functional in the constant directions.
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Preprints, Working Papers, ...
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Contributor : Hervé Le Dret Connect in order to contact the contributor
Submitted on : Monday, June 19, 2017 - 3:02:32 PM
Last modification on : Thursday, March 26, 2020 - 9:14:18 PM
Long-term archiving on: : Friday, December 15, 2017 - 8:12:51 PM


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  • HAL Id : hal-01517824, version 2
  • ARXIV : 1705.01466


Hervé Le Dret, Amira Mokrane. On problems in the calculus of variations in increasingly elongated domains. 2017. ⟨hal-01517824v2⟩



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