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arXiv · 2309.10727

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

Michela Eleuteri·Stefania Perrotta·Giulia Treu
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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.

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Michela Eleuteri, Stefania Perrotta, Giulia Treu. 2023-09-19. Local Lipschitz continuity for energy integrals with slow growth and lower order terms. https://arxiv.org/abs/2309.10727

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