Accepted Paper

Inserted: 21 dec 2024
Last Updated: 27 mar 2025

Journal: J. of Convex Analysis
Year: 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.

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