Geodesic
Nonconcentrating generalized Young functionals
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 1, pp. 91-99 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The Young measures, used widely for relaxation of various optimization problems, can be naturally understood as certain functionals on suitable space of integrands, which allows readily various generalizations. The paper is focused on such functionals which can be attained by sequences whose ``energy'' (=$p$th power) does not concentrate in the sense that it is relatively weakly compact in $L^1(\Omega )$. Straightforward applications to coercive optimization problems are briefly outlined.
The Young measures, used widely for relaxation of various optimization problems, can be naturally understood as certain functionals on suitable space of integrands, which allows readily various generalizations. The paper is focused on such functionals which can be attained by sequences whose ``energy'' (=$p$th power) does not concentrate in the sense that it is relatively weakly compact in $L^1(\Omega )$. Straightforward applications to coercive optimization problems are briefly outlined.
Classification : 49J45, 49N60
Keywords: Young measures; generalizations; relative $L^1$-weak compactness; coercive optimization problems; nonconcentration of energy 
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     author = {Roub{\'\i}\v{c}ek, Tom\'a\v{s}},
     title = {Nonconcentrating generalized {Young} functionals},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {91--99},
     year = {1997},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_1997_38_1_a6/}
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Roubíček, Tomáš. Nonconcentrating generalized Young functionals. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 1, pp. 91-99. http://geodesic.mathdoc.fr/item/CMUC_1997_38_1_a6/