On a class of variational problems with linear growth and radial symmetry
Analysis of PDEs
2019-11-26 v1
Abstract
We discuss variational problems on two-dimensional domains with energy densities of linear growth and with radially symmetric data. The smoothness of generalized minimizers is established under rather weak ellipticity assumptions. Further results concern the radial symmetry of solutions as well as a precise description of their behavior near the boundary.
Cite
@article{arxiv.1911.10355,
title = {On a class of variational problems with linear growth and radial symmetry},
author = {Michael Bildhauer and Martin Fuchs},
journal= {arXiv preprint arXiv:1911.10355},
year = {2019}
}