IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
The sharp affine L2 Sobolev trace inequality and variants
Autor/es:
MONTENEGRO, MARCOS; JIMÉNEZ, CARLOS HUGO; HADDAD, JULIÁN; DE NÁPOLI, PABLO LUIS
Revista:
MATHEMATISCHE ANNALEN
Editorial:
SPRINGER
Referencias:
Año: 2018 vol. 370 p. 287 - 308
ISSN:
0025-5831
Resumen:
We establish a sharp affineLp Sobolev trace inequality by using the Lp Busemann?Petty centroid inequality. For p= 2 , our affine version is stronger than the famous sharp L2 Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all extremizers in this case. For this new inequality, no Euclidean geometric structure is needed.
