Geodesic
Sharp affine Trudinger–Moser inequalities: A new argument
Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 765-778

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DOI

We set up the sharp Trudinger–Moser inequality under arbitrary norms. Using this result and the $L_{p}$ Busemann-Petty centroid inequality, we will provide a new proof to the sharp affine Trudinger–Moser inequalities without using the well-known affine Pólya–Szegö inequality.
DOI : 10.4153/S0008439520000806
Mots-clés : Lp Busemann–Petty centroid inequality, affine energy, Trudinger–Moser inequality 
Duy, Nguyen Tuan; Lam, Nguyen; Le, Phi Long. Sharp affine Trudinger–Moser inequalities: A new argument. Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 765-778. doi: 10.4153/S0008439520000806
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     author = {Duy, Nguyen Tuan and Lam, Nguyen and Le, Phi Long},
     title = {Sharp affine {Trudinger{\textendash}Moser} inequalities: {A} new argument},
     journal = {Canadian mathematical bulletin},
     pages = {765--778},
     year = {2021},
     volume = {64},
     number = {4},
     doi = {10.4153/S0008439520000806},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000806/}
}
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