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arXiv · 1803.01371

Minimizers of the p-oscillation functional

Annalisa Cesaroni·Serena Dipierro·Matteo Novaga·Enrico Valdinoci
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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.

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Annalisa Cesaroni, Serena Dipierro, Matteo Novaga, Enrico Valdinoci. 2018-03-04. Minimizers of the p-oscillation functional. https://arxiv.org/abs/1803.01371

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