Minimizers of the p-oscillation functional

Annalisa Cesaroni, Serena Dipierro, Matteo Novaga, Enrico Valdinoci

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)6785-6799
Number of pages15
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume39
Issue number12
DOIs
Publication statusPublished - 1 Jan 2019

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Minimizer
Oscillation
Compact Perturbation
Total Variation
Dirichlet Problem
Dirichlet
Existence of Solutions

Cite this

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Minimizers of the p-oscillation functional. / Cesaroni, Annalisa; Dipierro, Serena; Novaga, Matteo; Valdinoci, Enrico.

In: Discrete and Continuous Dynamical Systems- Series A, Vol. 39, No. 12, 01.01.2019, p. 6785-6799.

Research output: Contribution to journalArticle

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AU - Cesaroni, Annalisa

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AU - Novaga, Matteo

AU - Valdinoci, Enrico

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