On the Moser-Onofri and Prékopa-Leindler inequalities.
Ghigi, Alessandro
Collectanea Mathematica, Tome 56 (2005), p. 143-156 / Harvested from Biblioteca Digital de Matemáticas
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Using elementary convexity arguments involving the Legendre transformation and the Prékopa-Leindler inequality, we prove the sharp Moser-Onofri inequality, which says that

1/16π ∫|∇φ|2 + 1/4π ∫ φ - log (1/4π ∫ eφ) ≥ 0

for any funcion φ ∈ C∞(S2).

Publié le : 2005-01-01
DMLE-ID : 4309 
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     title = {On the Moser-Onofri and Pr\'ekopa-Leindler inequalities.},
     journal = {Collectanea Mathematica},
     volume = {56},
     year = {2005},
     pages = {143-156},
     zbl = {1088.58007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41825}
}

Ghigi, Alessandro. On the Moser-Onofri and Prékopa-Leindler inequalities.. Collectanea Mathematica, Tome 56 (2005) pp. 143-156. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41825/