caa a22 4500 606194312 CHVBK 20210128100913.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s00030-015-0313-6 doi (NATIONALLICENCE)springer-10.1007/s00030-015-0313-6 The role of the mean curvature in a Hardy-Sobolev trace inequality [Elektronische Daten] [Mouhamed Fall, Ignace Minlend, El Thiam] The Hardy-Sobolev trace inequality can be obtained via harmonic extensions on the half-space of the Stein and Weiss weighted Hardy-Littlewood-Sobolev inequality. In this paper we consider a bounded domain and study the influence of the boundary mean curvature in the Hardy-Sobolev trace inequality on the underlying domain. We prove existence of minimizers when the mean curvature is negative at the singular point of the Hardy potential. Springer Basel, 2015 Hardy-Sobolev inequality nationallicence Weighted trace Sobolev inequality nationallicence Mean curvature nationallicence Fall Mouhamed African Institute for Mathematical Sciences (A.I.M.S.) of Senegal, KM 2, Route de Joal, B.P. 1418, Mbour, Senegal aut Minlend Ignace African Institute for Mathematical Sciences (A.I.M.S.) of Senegal, KM 2, Route de Joal, B.P. 1418, Mbour, Senegal aut Thiam El African Institute for Mathematical Sciences (A.I.M.S.) of Senegal, KM 2, Route de Joal, B.P. 1418, Mbour, Senegal aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/5(2015-10-01), 1047-1066 1021-9722 22:5<1047 2015 22 30 https://doi.org/10.1007/s00030-015-0313-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-015-0313-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fall Mouhamed African Institute for Mathematical Sciences (A.I.M.S.) of Senegal, KM 2, Route de Joal, B.P. 1418, Mbour, Senegal aut NATIONALLICENCE 700 1- Minlend Ignace African Institute for Mathematical Sciences (A.I.M.S.) of Senegal, KM 2, Route de Joal, B.P. 1418, Mbour, Senegal aut NATIONALLICENCE 700 1- Thiam El African Institute for Mathematical Sciences (A.I.M.S.) of Senegal, KM 2, Route de Joal, B.P. 1418, Mbour, Senegal aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/5(2015-10-01), 1047-1066 1021-9722 22:5<1047 2015 22 30