@article {Mondino2014,
	title = {Existence of integral m-varifolds minimizing $\int |A|^p $ and $\int |H|^p$ , p>m, in Riemannian manifolds},
	journal = {Calculus of Variations and Partial Differential Equations},
	volume = {49},
	number = {1},
	year = {2014},
	month = {Jan},
	pages = {431{\textendash}470},
	abstract = {<p>We prove existence of integral rectifiable $m$-dimensional varifolds minimizing functionals of the type $\int |H|^p$ and $\int |A|^p$ in a given Riemannian $n$-dimensional manifold $(N,g)$, $2 \leq m\&lt;n$ and $p\&gt;m$ under suitable assumptions on $N$ (in the end of the paper we give many examples of such ambient manifolds). To this aim we introduce the following new tools: some monotonicity formulas for varifolds in ${\mathbb{R }^S}$ involving $\int\&nbsp; |H|^p$to\&nbsp; avoid degeneracy of the minimizer, and a sort of isoperimetric inequality to bound the mass in terms of the mentioned functionals.</p>},
	issn = {1432-0835},
	doi = {10.1007/s00526-012-0588-y},
	url = {https://doi.org/10.1007/s00526-012-0588-y},
	author = {Andrea Mondino}
}
