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Local minimizers of functionals with multiple volume constraints

Édouard Oudet and Marc Oliver Rieger
ESAIM: Control, Optimisation and Calculus of Variations 14 (4) 780 (2008)
DOI: 10.1051/cocv:2008013
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On a variational problem with non-differentiable constraints

Roger Moser
Calculus of Variations and Partial Differential Equations 29 (1) 119 (2007)
DOI: 10.1007/s00526-006-0061-x
See this article