Back to Search Start Over

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

Authors :
Eleuteri, Michela
Perrotta, Stefania
Treu, Giulia
Publication Year :
2023

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.

Subjects

Subjects :
Mathematics - Analysis of PDEs

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2309.10727
Document Type :
Working Paper