Calculus of Variations and Geometric Measure Theory

M. Eleuteri - P. Marcellini - E. Mascolo - S. Perrotta

Local Lipschitz continuity for energy integrals with slow growth

created by eleuteri1 on 31 Jul 2026

[BibTeX]

Accepted Paper

Inserted: 31 jul 2026
Last Updated: 31 jul 2026

Journal: Annali di Matematica Pura ed Applicata
Volume: 201
Number: (3)
Pages: 1005-1032
Year: 2022
Doi: 10.1007/s10231-021-01147-w

Abstract:

We consider some energy integrals under slow growth and we prove that the local minimizers are locally Lipschitz continuous. Many examples are given, either with subquadratic $p,q-$growth andor anisotropic growth.


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