Minimizers of the p-oscillation functional
Analysis of PDEs
2018-03-06 v1
Abstract
We define a family of functionals, called p-oscillation functionals, that can be interpreted as discrete versions of the classical total variation functional for p=1 and of the p-Dirichlet functionals for p>1. We introduce the notion of minimizers and prove existence of solutions to the Dirichlet problem. Finally we provide a description of Class A minimizers (i.e. minimizers under compact perturbations) in dimension 1.
Cite
@article{arxiv.1803.01371,
title = {Minimizers of the p-oscillation functional},
author = {Annalisa Cesaroni and Serena Dipierro and Matteo Novaga and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1803.01371},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1704.03195