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 |x|kxN α. Our results imply some sharp functional inequalities, like for instance, Caffarelli-Kohn-Nirenberg type inequalities.
The isoperimetric problem for a class of non-radial weights and applications / Alvino, A.; Brock, F.; Chiacchio, F.; Mercaldo, A.; Posteraro, Mr. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 267:12(2019), pp. 6831-6871. [10.1016/j.jde.2019.07.013]
The isoperimetric problem for a class of non-radial weights and applications
A. Alvino;F. Chiacchio
;A. Mercaldo;MR Posteraro
2019
Abstract
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 |x|kxN α. Our results imply some sharp functional inequalities, like for instance, Caffarelli-Kohn-Nirenberg type inequalities.File in questo prodotto:
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