The weighted Sobolev and mean value inequalities

Adriano A. Medeiros

Type: Article

Publication Date: 2014-11-24

Citations: 4

DOI: https://doi.org/10.1090/s0002-9939-2014-12337-9

Abstract

In this paper we prove a Michael-Simon inequality in the weighted setting and using this inequality we obtain a diameter control depending of the $f$-mean curvature, which is based in the work of Topping.

Locations

Proceedings of the American Mathematical Society - View - PDF

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Works Cited by This (15)

Action	Title	Year	Authors
+	Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche	1969	Enrico Bombieri Ennio De Giorgi Michele Miranda
+ PDF Chat	Blow up of subcritical quantities at the first singular time of the mean curvature flow	2010	Nam Q. Le
+	Complete submanifolds in manifolds of partially non-negative curvature	2009	Qiaoling Wang
+	Sobolev and mean‐value inequalities on generalized submanifolds of R<sup>n</sup>	1973	J. H. Michael L. Simon
+ PDF Chat	A Class of Sobolev Type Inequalities	2008	Guji Tian Xu‐Jia Wang
+	On the First Variation of a Varifold	1972	William K. Allard
+ PDF Chat	Relating diameter and mean curvature for submanifolds of Euclidean space	2008	Peter M. Topping
+	Sobolev and isoperimetric inequalities for riemannian submanifolds	1974	David Hoffman Joel Spruck
+	Relating diameter and mean curvature for Riemannian submanifolds	2011	Jia-Yong Wu Yu Zheng
+	Weakly Differentiable Functions	1989	William P. Ziemer