[Author] A. I. Nazarov [Title] Trace Hardy--Sobolev inequalities in cones [AMS Subj-class] 49J10 Free problems in two or more independent variables 35J20 Variational methods for second-order, elliptic equations 35J60 Nonlinear PDE of elliptic type [Abstract] We discuss the values of sharp constants and their attainability for the trace Hardy--Sobolev inequalities in cones. [Comments] English, 11 pp. [Contact e-mail] an@AN4751.spb.edu