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