Integral representation of solutions using Green function for fractional Hardy equations

dc.contributor.author	BHAKTA, MOUSOMI	en_US
dc.contributor.author	BISWAS, ANUP	en_US
dc.contributor.author	GANGULY, DEBDIP	en_US
dc.contributor.author	Montoro, Luigi	en_US
dc.date.accessioned	2020-08-07T07:23:40Z
dc.date.available	2020-08-07T07:23:40Z
dc.date.issued	2020-09	en_US
dc.identifier.citation	Journal of Differential Equations, 269(7), 5573-5594.	en_US
dc.identifier.issn	1090-2732	en_US
dc.identifier.issn	0022-0396	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4937
dc.identifier.uri	https://doi.org/10.1016/j.jde.2020.04.022	en_US
dc.description.abstract	Our main aim is to study Green function for the fractional Hardy operator P := (-Delta)(s) - theta/vertical bar x vertical bar(2s) in R-N, where 0 < theta< Lambda(Ns) and Lambda(N,s) is the best constant in the fractional Hardy inequality. Using Green function, we also show that the integral representation of the weak solution holds.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Fractional Laplacian	en_US
dc.subject	Hardy operator	en_US
dc.subject	Green function	en_US
dc.subject	Integral representation	en_US
dc.subject	Hardy equation	en_US
dc.subject	Semigroup	en_US
dc.subject	TOC-AUG-2020	en_US
dc.subject	2020	en_US
dc.subject	2020-AUG-WEEK1	en_US
dc.title	Integral representation of solutions using Green function for fractional Hardy equations	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Differential Equations	en_US
dc.publication.originofpublisher	Foreign	en_US