Upper and Lower Bounds for Poincaré-type Constants in BH
Journal of convex analysis, Tome 17 (2010) no. 3, pp. 1089-1111.

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The paper provides upper and lower bounds for the Poincar\'e constant in some inequalities involving BH functions and shows their application to some problems in the Calculus of Variations.
@article{JCA_2010_17_3_JCA_2010_17_3_a21,
     author = {D. Percivale},
     title = {Upper and {Lower} {Bounds} for {Poincar\'e-type} {Constants} in {BH}},
     journal = {Journal of convex analysis},
     pages = {1089--1111},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_3_JCA_2010_17_3_a21/}
}
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D. Percivale. Upper and Lower Bounds for Poincaré-type Constants in BH. Journal of convex analysis, Tome 17 (2010) no. 3, pp. 1089-1111. http://geodesic.mathdoc.fr/item/JCA_2010_17_3_JCA_2010_17_3_a21/