2014Proceedings of the American Mathematical SocietyOpen access

The weighted Sobolev and mean value inequalities

Adriano A. Medeiros

Open full text 6 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Inequality, Mathematics, Curvature, Mean value, Value (mathematics), Work (physics), Pure mathematics, Applied mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
The weighted Sobolev and mean value inequalities — Research Paper | ScholarLens