Bhakta, M. ; Sandeep, K. (2009) Hardy–Sobolev–Maz'ya type equations in bounded domains Journal of Differential Equations, 247 (1). pp. 119-139. ISSN 0022-0396
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Official URL: http://doi.org/10.1016/j.jde.2008.12.011
Related URL: http://dx.doi.org/10.1016/j.jde.2008.12.011
Abstract
We study the regularity, Palais–Smale characterization and existence/nonexistence of solutions of the Hardy–Sobolev–Maz'ya equation− Δ u− λ u| y| 2=| u| p t− 1 u| y| t in a bounded domain in R N where x∈ R N is denoted as x=(y, z)∈ R k× R N− k and p t= N+ 2− 2 t N− 2. We show different behaviors of PS sequences depending on t= 0 or t> 0.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 121256 |
| Deposited On: | 13 Jul 2021 07:32 |
| Last Modified: | 13 Jul 2021 07:32 |
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