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

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

2009-02-19

arxiv.org/abs/0902.3398v1

Calc. Var. Partial Differential Equations 36 (2009), 493-506

Mathematics

Analysis of PDEs

14 Pages

Scientific paper

10.1007/s00526-009-0239-0

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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