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

2023/09/19 by Michela Eleuteri, Eleuteri, Michela, Stefania Perrotta +3 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2309.10727

openalex publication_date 2023/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Local Lipschitz continuity for energy integrals with fast growth and lower order terms
• Local Lipschitz continuity for energy integrals under unified general growth of fast and slow type

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