Calculus of Variations and Geometric Measure Theory

M. Eleuteri - A. Passarelli di Napoli

Lipschitz regularity for a priori bounded minimizers of integral functionals with nonstandard growth

created by eleuteri1 on 31 Jul 2026

[BibTeX]

Accepted Paper

Inserted: 31 jul 2026
Last Updated: 31 jul 2026

Journal: Potential Analysis
Volume: 62
Number: (3)
Pages: 535-562
Year: 2025

ArXiv: 2310.04692 PDF

Abstract:

We establish the Lipschitz regularity of the a priori bounded local minimizers of integral functionals with non autonomous energy densities satisfying non standard growth conditions under a sharp bound on the gap between the growth and the ellipticity exponent.