Adimurthi, ; Sandeep, K. (2007) A singular Moser-Trudinger embedding and its applications Nonlinear Differential Equations and Applications, 13 (5-6). pp. 585-603. ISSN 1021-9722
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Official URL: http://www.springerlink.com/content/v182175812jx21...
Related URL: http://dx.doi.org/10.1007/s00030-006-4025-9
Abstract
Let Ω be a bounded domain in Rn, we prove the singular Moser-Trudinger embedding: sup||u||≤1Ω∫ eα|u|n/n-1/|x|β<∞ if and only if α/αn +β/n ≤1 where α > 0, β ∈[0,n),u∈ W01,n (Ω) and ||u||=(∫Ω|∇u|n)1/n. We will also study the corresponding critical exponent problem.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Birkhauser-Verlag. |
| Keywords: | Moser-trudinger; Noncompact Variational Problems |
| ID Code: | 12073 |
| Deposited On: | 10 Nov 2010 04:44 |
| Last Modified: | 09 May 2011 11:34 |
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