Relaxation for a Degenerate Functional with Linear Growth in the Onedimensional Case
Valeria Chiadò Piat, Virginia De Cicco, Anderson Melchor Hernandez · Journal of convex analysis · 2026
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.