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| On Problems in the Calculus of Variations in Increasingly Elongated Domains |
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Citation： |
Herv'e LE DRET,Amira MOKRANE.On Problems in the Calculus of Variations in Increasingly Elongated Domains[J].Chinese Annals of Mathematics B,2018,39(2):163~182 |
| Page view： 1132
Net amount： 746 |
Authors： |
Herv'e LE DRET; Amira MOKRANE |
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| Abstract： |
This paper deals with 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. The authors
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. |
Keywords： |
Calculus of variations, Domains becoming unbounded, Asymptoticbehavior, Exponential rate of convergence |
Classification： |
35J25, 35J35, 35J62, 35J92, 49J45, 74K99 |
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