Caffarelli--Kohn--Nirenberg inequalities with remainder terms.
The authors prove a large number of very technical results that extend in several directions the inequalities of the form \[ \int_{R^N}| x| ^{-2a}| \nabla u| ^2dx\geq C_{a,b}\lgroup\int_{R^N}| x| ^{-bp} | u| ^pdx\rgroup^{{2}\over{p}} \] in [\textit{L. Caffarelli, R. Kohn} and \textit{L. Nirenberg}, Compos. Math. 53, 259--275 (1984; Zbl 0563.46024)].
scientific article; zbMATH DE number 2005500