Mancini, G. ; Fabbri, I. ; Sandeep, K. (2006) Classification of solutions of a critical Hardy–Sobolev operator Journal of Differential Equations, 224 (2). pp. 258-276. ISSN 0022-0396
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Official URL: http://doi.org/10.1016/j.jde.2005.07.001
Related URL: http://dx.doi.org/10.1016/j.jde.2005.07.001
Abstract
In this article we classify all positive finite energy solutions of the equation-Δ u= u n n-2| y| in R n where R n= R k× R n-k, n> k⩾ 2 and a point x∈ R n is denoted as x=(y, z)∈ R k× R n-k. As a consequence we obtain the best constant and extremals of a related Hardy–Sobolev inequality.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 121269 |
| Deposited On: | 13 Jul 2021 09:06 |
| Last Modified: | 13 Jul 2021 09:06 |
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