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The Caffarelli-Kohn-Nirenberg type inequalities involving critical and supercritical weights

T. Horiuchi ; Peter Kumlin (Institutionen för matematiska vetenskaper)
Proceedings of the Japan Academy Series a-Mathematical Sciences (0386-2194). Vol. 88 (2012), 1, p. 1-6.
[Artikel, refereegranskad vetenskaplig]

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).

Nyckelord: CKN-type inequality, Hardy-Sobolev inequality, weighted Hardy inequality, degenerate elliptic, concentration-compactness principle, calculus, symmetry

Denna post skapades 2012-05-30.
CPL Pubid: 158266


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