Total energy of radial mappings
Analysis of PDEs
2017-03-30 v1
Abstract
The main aim of this paper is to extend one of the main results of Iwaniec and Onninen (Arch. Ration. Mech. Anal., 194: 927-986, 2009). We prove that, the so called total energy functional defined on the class of radial streachings between annuli attains its minimum on a total energy diffeomorphism between annuli. This involves a subtle analysis of some special ODE.
Cite
@article{arxiv.1703.10064,
title = {Total energy of radial mappings},
author = {Shaolin Chen and David Kalaj},
journal= {arXiv preprint arXiv:1703.10064},
year = {2017}
}
Comments
9 pages