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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4937| Title: | Integral representation of solutions using Green function for fractional Hardy equations |
| Authors: | BHAKTA, MOUSOMI BISWAS, ANUP GANGULY, DEBDIP Montoro, Luigi Dept. of Mathematics |
| Keywords: | Fractional Laplacian Hardy operator Green function Integral representation Hardy equation Semigroup TOC-AUG-2020 2020 2020-AUG-WEEK1 |
| Issue Date: | Sep-2020 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Differential Equations, 269(7), 5573-5594. |
| 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4937 https://doi.org/10.1016/j.jde.2020.04.022 |
| ISSN: | 1090-2732 0022-0396 |
| Appears in Collections: | JOURNAL ARTICLES |
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