Autor: |
Balogh, Zoltán M., Kristály, Alexandru, Mester, Ágnes |
Rok vydání: |
2024 |
Předmět: |
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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 |
Externí odkaz: |
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