A singular Moser-Trudinger embedding and its applications

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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