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arXiv · 2412.05328

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

Valeria Chiadò Piat·Virginia De Cicco·Anderson Melchor Hernandez
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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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Valeria Chiadò Piat, Virginia De Cicco, Anderson Melchor Hernandez. 2024-12-04. Relaxation for a degenerate functional with linear growth in the onedimensional case. https://arxiv.org/abs/2412.05328

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