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arXiv · 0902.3398

A threshold phenomenon for embeddings of $H^m_0$ into Orlicz spaces

Luca Martinazzi
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Abstract

We consider a sequence of positive smooth critical points of the Adams-Moser-Trudinger embedding of $H^m_0$ into Orlicz spaces. We study its concentration-compactness behavior and show that if the sequence is not precompact, then the liminf of the $H^m_0$-norms of the functions is greater than or equal to a positive geometric constant.

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Luca Martinazzi. 2009-02-19. A threshold phenomenon for embeddings of $H^m_0$ into Orlicz spaces. https://doi.org/10.1007/s00526-009-0239-0

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