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$W^{1,p}$ approximation of the Moser--Trudinger inequality

Functional Analysis 2022-12-06 v1 Analysis of PDEs

Abstract

We propose a power type approximation of the Moser--Trudinger functional and show that its concentration level converges to the Carleson--Chang limit.

Keywords

Cite

@article{arxiv.2212.02086,
  title  = {$W^{1,p}$ approximation of the Moser--Trudinger inequality},
  author = {Masato Hashizume and Norisuke Ioku},
  journal= {arXiv preprint arXiv:2212.02086},
  year   = {2022}
}

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12 pages