Adams inequalities with exact growth condition for Riesz-like potentials on $\mathbb{R}^n$

Liuyu Qin

doi:10.1016/j.aim.2022.108195

Adams inequalities with exact growth condition for Riesz-like potentials on $\mathbb{R}^n$

Analysis of PDEs 2022-11-02 v2

Authors: Liuyu Qin

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Abstract

We derive sharp Adams inequalities with exact growth condition for the Riesz potential as well as more general Riesz-like potentials on R^n. We also obtain Moser-Trudinger inequalities with exact growth condition for the fractional Laplacian, and for general homogeneous elliptic differential operators with constant coefficients.

Keywords

adams inequalities exact growth condition riesz potential moser-trudinger inequalities fractional laplacian elliptic operators

Cite

@article{arxiv.2109.08506,
  title  = {Adams inequalities with exact growth condition for Riesz-like potentials on $\mathbb{R}^n$},
  author = {Liuyu Qin},
  journal= {arXiv preprint arXiv:2109.08506},
  year   = {2022}
}

Comments

42 pages. Several typos, omissions were corrected. Some of the references are corrected. Proof of Lemma 1 was added to Appendix A

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