A threshold phenomenon for embeddings of $H^m_0$ into Orlicz spaces
Analysis of PDEs
2010-03-05 v1 Functional Analysis
Abstract
We consider a sequence of positive smooth critical points of the Adams-Moser-Trudinger embedding of into Orlicz spaces. We study its concentration-compactness behavior and show that if the sequence is not precompact, then the liminf of the -norms of the functions is greater than or equal to a positive geometric constant.
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Cite
@article{arxiv.0902.3398,
title = {A threshold phenomenon for embeddings of $H^m_0$ into Orlicz spaces},
author = {Luca Martinazzi},
journal= {arXiv preprint arXiv:0902.3398},
year = {2010}
}
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14 Pages