$L^p$-Sobolev inequalities on Euclidean submanifolds

Autor: Balogh, Zoltán M., Kristály, Alexandru, Mester, Ágnes
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: The paper is devoted to prove Allard-Michael-Simon-type $L^p$-Sobolev $(p>1)$ inequalities with explicit constants on Euclidean submanifolds of any codimension. Such inequalities contain, beside the Dirichlet $p$-energy, a term involving the mean curvature of the submanifold. Our results require separate discussions for the cases $p\geq 2$ and $1Comment: 16 pages
Databáze: arXiv