The Caffarelli-Kohn-Nirenberg type inequalities involving critical and supercritical weights
Artikel i vetenskaplig tidskrift, 2012
The main purpose of this article is to establish the CKN-type inequalities for all alpha is an element of R and to study the relating matters systematically. Roughly speaking, we shall discuss about the characterizations of the CKN-type inequalities for all alpha is an element of R as the variational problems, the existence and nonexistence of the extremal solutions to these variational problems in proper spaces, the exact values and the assymptotic behaviors of the best constants S(p, q, alpha) and C(p, q).
weighted Hardy inequality