Accepted Paper

Inserted: 31 jul 2026
Last Updated: 31 jul 2026

Journal: Nonlinear Analysis: Real World Applications
Volume: 82
Number: 104224
Year: 2025

Abstract:

We consider integral functionals with slow growth and explicit dependence on u of the lagrangian; this includes many relevant examples, as, for instance, in elastoplastic torsion problems or in image restoration problems. Our aim is to prove that the local minimizers are locally Lipschitz continuous. The proof makes use of recent results concerning the Bounded Slope Conditions.