Relaxation for a degenerate functional with linear growth in the onedimensional case

2024/12/04 by Piat, Valeria Chiadò, De Cicco, Virginia, Hernandez, Anderson Melchor · 1 citation
#26A15 #49J45 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.05328

Abstract

In this work, we study the relaxation of a degenerate functional with linear growth, depending on a weight w that does not exhibit doubling or Muckenhoupt-type conditions. In order to obtain an explicit representation of the relaxed functional and its domain, our main tools for are Sobolev inequalities with double weight.

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• Minimization of Degenerate Nonlinear Functionals under Radial Symmetry

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