We prove some Hardy-type inequalities related to quasilinear second-order degenerate elliptic differential operators . If is a positive weight such that , then the Hardy-type inequalityholds. We find an explicit value of the constant involved, which, in most cases, results optimal. As particular case we derive Hardy inequalities for subelliptic operators on Carnot Groups.
@article{ASNSP_2005_5_4_3_451_0, author = {D{\textquoteright}Ambrosio, Lorenzo}, title = {Hardy-type inequalities related to degenerate elliptic differential operators}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {451--486}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 4}, number = {3}, year = {2005}, mrnumber = {2185865}, zbl = {1170.35372}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2005_5_4_3_451_0/} }
TY - JOUR AU - D’Ambrosio, Lorenzo TI - Hardy-type inequalities related to degenerate elliptic differential operators JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2005 SP - 451 EP - 486 VL - 4 IS - 3 PB - Scuola Normale Superiore, Pisa UR - http://www.numdam.org/item/ASNSP_2005_5_4_3_451_0/ LA - en ID - ASNSP_2005_5_4_3_451_0 ER -
%0 Journal Article %A D’Ambrosio, Lorenzo %T Hardy-type inequalities related to degenerate elliptic differential operators %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2005 %P 451-486 %V 4 %N 3 %I Scuola Normale Superiore, Pisa %U http://www.numdam.org/item/ASNSP_2005_5_4_3_451_0/ %G en %F ASNSP_2005_5_4_3_451_0
D’Ambrosio, Lorenzo. Hardy-type inequalities related to degenerate elliptic differential operators. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 3, pp. 451-486. http://www.numdam.org/item/ASNSP_2005_5_4_3_451_0/
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