Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [16 references]  Display  Hide  Download

https://hal.sorbonne-universite.fr/hal-01517824
Contributor : Hervé Le Dret Connect in order to contact the contributor
Submitted on : Thursday, January 18, 2018 - 10:02:27 PM
Last modification on : Thursday, December 10, 2020 - 10:56:39 AM
Long-term archiving on: : Thursday, May 24, 2018 - 1:27:59 AM

Files

HLD-AM2017-HAL-arXiv-v3.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01517824, version 3
  • ARXIV : 1705.01466

Citation

Hervé Le Dret, Amira Mokrane. On problems in the calculus of variations in increasingly elongated domains. 2018. ⟨hal-01517824v3⟩

Share

Metrics

Record views

384

Files downloads

542