We consider integral functionals with slow growth and explicit dependence on 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.

Local Lipschitz continuity for energy integrals with slow growth and lower order terms / Eleuteri, Michela; Perrotta, Stefania; Treu, Giulia. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - 82:(2025), pp. 1-14. [10.1016/j.nonrwa.2024.104224]

Local Lipschitz continuity for energy integrals with slow growth and lower order terms

Eleuteri, Michela
;
Perrotta, Stefania;Treu, Giulia
2025

Abstract

We consider integral functionals with slow growth and explicit dependence on 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.
2025
82
1
14
Local Lipschitz continuity for energy integrals with slow growth and lower order terms / Eleuteri, Michela; Perrotta, Stefania; Treu, Giulia. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - 82:(2025), pp. 1-14. [10.1016/j.nonrwa.2024.104224]
Eleuteri, Michela; Perrotta, Stefania; Treu, Giulia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1360346
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