The isoperimetric problem for a class of non-radial weights and applications

[摘要] We study a class of isoperimetric problems on R-+(N) where the densities of the weighted volume and weighted perimeter are given by two different non-radial functions of the type vertical bar x vertical bar(k) x(N)(alpha) . Our results imply some sharp functional inequalities, like for instance, Caffarelli-Kohn-Nirenberg type inequalities. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-05

[关键词] Isoperimetric inequality;Weighted rearrangement;Functional inequalities