Local Lipschitz continuity for energy integrals with slow growth

2021/05/18 by Eleuteri, Michela, Marcellini, Paolo, Mascolo, Elvira +1 · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.08271

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 and/or anisotropic growth.

Cited by

• Global boundedness of weak solutions with finite energy to a general class of Dirichlet problems
• Local Lipschitz continuity for energy integrals with fast growth and lower order terms

Related

• Local Lipschitz continuity for energy integrals with fast growth and lower order terms
• Local Lipschitz continuity for energy integrals with slow growth and lower order terms
• Lipschitz regularity for degenerate elliptic integrals with p,q-growth
• Lipschitz regularity for a priori bounded minimizers of integral functionals with nonstandard growth
• Unified a-priori estimates for minimizers under p,q-growth and exponential growth