On the Moser-Onofri and Prékopa-Leindler inequalities.

@article{Ghigi2005,
abstract = {Using elementary convexity arguments involving the Legendre transformation and the Prékopa-Leindler inequality, we prove the sharp Moser-Onofri inequality, which says that1/16π ∫|∇φ|2 + 1/4π ∫ φ - log (1/4π ∫ eφ) ≥ 0for any funcion φ ∈ C∞(S2).},
author = {Ghigi, Alessandro},
journal = {Collectanea Mathematica},
keywords = {Desigualdades; Convexidad; Problemas variacionales; Moser-Trudinger inequality; Prekópa-Leindler inequality; Sobolev embedding; Moser-Onofri inequality; Legendre transform},
language = {eng},
number = {2},
pages = {143-156},
title = {On the Moser-Onofri and Prékopa-Leindler inequalities.},
url = {http://eudml.org/doc/41825},
volume = {56},
year = {2005},
}

TY - JOUR
AU - Ghigi, Alessandro
TI - On the Moser-Onofri and Prékopa-Leindler inequalities.
JO - Collectanea Mathematica
PY - 2005
VL - 56
IS - 2
SP - 143
EP - 156
AB - Using elementary convexity arguments involving the Legendre transformation and the Prékopa-Leindler inequality, we prove the sharp Moser-Onofri inequality, which says that1/16π ∫|∇φ|2 + 1/4π ∫ φ - log (1/4π ∫ eφ) ≥ 0for any funcion φ ∈ C∞(S2).
LA - eng
KW - Desigualdades; Convexidad; Problemas variacionales; Moser-Trudinger inequality; Prekópa-Leindler inequality; Sobolev embedding; Moser-Onofri inequality; Legendre transform
UR - http://eudml.org/doc/41825
ER -