# A finite dimensional linear programming approximation of Mather's variational problem

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 16, Issue: 4, page 1094-1109
- ISSN: 1292-8119

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topGranieri, Luca. "A finite dimensional linear programming approximation of Mather's variational problem." ESAIM: Control, Optimisation and Calculus of Variations 16.4 (2010): 1094-1109. <http://eudml.org/doc/250754>.

@article{Granieri2010,

abstract = {
We provide an approximation of Mather variational problem by finite dimensional minimization problems in the framework of Γ-convergence. By a linear programming interpretation as done in [Evans and Gomes, ESAIM: COCV 8 (2002) 693–702] we state a duality theorem for the Mather problem, as well a finite dimensional approximation for the dual problem.
},

author = {Granieri, Luca},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Mather problem; minimal measures; linear programming; Γ-convergence; -convergence},

language = {eng},

month = {10},

number = {4},

pages = {1094-1109},

publisher = {EDP Sciences},

title = {A finite dimensional linear programming approximation of Mather's variational problem},

url = {http://eudml.org/doc/250754},

volume = {16},

year = {2010},

}

TY - JOUR

AU - Granieri, Luca

TI - A finite dimensional linear programming approximation of Mather's variational problem

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/10//

PB - EDP Sciences

VL - 16

IS - 4

SP - 1094

EP - 1109

AB -
We provide an approximation of Mather variational problem by finite dimensional minimization problems in the framework of Γ-convergence. By a linear programming interpretation as done in [Evans and Gomes, ESAIM: COCV 8 (2002) 693–702] we state a duality theorem for the Mather problem, as well a finite dimensional approximation for the dual problem.

LA - eng

KW - Mather problem; minimal measures; linear programming; Γ-convergence; -convergence

UR - http://eudml.org/doc/250754

ER -

## References

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