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.
Relaxation for a degenerate functional with linear growth in the onedimensional case / Chiado` Piat, Valeria; De Cicco, Virginia; Melchor Hernandez, Anderson. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - (2025).
Relaxation for a degenerate functional with linear growth in the onedimensional case
VIRGINIA DE CICCO;
2025
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.File allegati a questo prodotto
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