Archivio Istituzionale della RicercaIn 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, V.; De Cicco, V.; Melchor Hernandez, A.. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - STAMPA. - 33:2(2026), pp. 335-360.
Relaxation for a degenerate functional with linear growth in the onedimensional case
V. Chiado' Piat;
2026
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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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2999525