English

Local Lipschitz continuity for energy integrals with slow growth

Analysis of PDEs 2021-05-19 v1

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,qp,q-growth and/or anisotropic growth.

Keywords

Cite

@article{arxiv.2105.08271,
  title  = {Local Lipschitz continuity for energy integrals with slow growth},
  author = {Michela Eleuteri and Paolo Marcellini and Elvira Mascolo and Stefania Perrotta},
  journal= {arXiv preprint arXiv:2105.08271},
  year   = {2021}
}
R2 v1 2026-06-24T02:12:30.964Z