Adimurthi, . ; Sandeep, K. (2007) A singular Moser-Trudinger embedding and its applications Nonlinear Differential Equations and Applications NoDEA, 13 (5-6). pp. 585-603. ISSN 1021-9722
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Official URL: http://doi.org/10.1007/s00030-006-4025-9
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 ≤1 Ω eα|u| n n−1 |x|β < ∞ if and only if α αn + β n ≤ 1, where α > 0, β ∈ [0, n), u ∈ W1,n 0 (Ω) and u = Ω |∇u|n 1n . We will also study the corresponding critical exponent problem.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer-Verlag. |
| ID Code: | 121268 |
| Deposited On: | 13 Jul 2021 09:04 |
| Last Modified: | 13 Jul 2021 09:04 |
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