We establish the higher fractional differentiability for the minimizers of non-autonomous integral functionals of the form F(u, ω) := Z ω [f(x, Du)-g u] dx, under (p, q)-growth conditions. Besides a suitable differentiability assumption on the partial map x 7→ DEf(x, E), we do not need to assume any differentiability assumption on the function g.
Regularity results for minimizers of non-autonomous integral functionals / Grimaldi, Antonio Giuseppe; Russo, Stefania. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - (2025), pp. 1-28. [10.1017/prm.2025.10039]
Regularity results for minimizers of non-autonomous integral functionals
Antonio Giuseppe Grimaldi;Stefania Russo
2025
Abstract
We establish the higher fractional differentiability for the minimizers of non-autonomous integral functionals of the form F(u, ω) := Z ω [f(x, Du)-g u] dx, under (p, q)-growth conditions. Besides a suitable differentiability assumption on the partial map x 7→ DEf(x, E), we do not need to assume any differentiability assumption on the function g.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
regularity-results-for-minimizers-of-non-autonomous-integral-functionals.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
Dominio pubblico
Dimensione
677.43 kB
Formato
Adobe PDF
|
677.43 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
