Geodesic
Brunn-Minkowski Inequality for the 1-Riesz Capacity and Level Set Convexity for the 1/2-Laplacian
Journal of convex analysis, Tome 22 (2015) no. 4, pp. 1125-1134
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We prove that that the 1-Riesz capacity satisfies a Brunn-Minkowski inequality, and that the capacitary function of the 1/2-Laplacian is level set convex.
Mots-clés : Fractional Laplacian, Brunn-Minkowski inequality, level set convexity, Riesz capacity 
@article{JCA_2015_22_4_JCA_2015_22_4_a11,
     author = {M. Novaga and B. Ruffini},
     title = {Brunn-Minkowski {Inequality} for the {1-Riesz} {Capacity} and {Level} {Set} {Convexity} for the {1/2-Laplacian}},
     journal = {Journal of convex analysis},
     pages = {1125--1134},
     year = {2015},
     volume = {22},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2015_22_4_JCA_2015_22_4_a11/}
}
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M. Novaga; B. Ruffini. Brunn-Minkowski Inequality for the 1-Riesz Capacity and Level Set Convexity for the 1/2-Laplacian. Journal of convex analysis, Tome 22 (2015) no. 4, pp. 1125-1134. http://geodesic.mathdoc.fr/item/JCA_2015_22_4_JCA_2015_22_4_a11/