The weighted Sobolev and mean value inequalities
Adriano A. Medeiros
Abstract
Open-access reader
Adriano A. Medeiros
Abstract
Open-access reader
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.
OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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