Regularity results for Hölder minimizers to functionals with non‐standard growth
Antonio Giuseppe Grimaldi, Erica Ipocoana · Mathematische Nachrichten · 2024
Abstract We study the regularity properties of Hölder continuous minimizers to non‐autonomous functionals satisfying ‐growth conditions, under Besov assumptions on the coefficients. In particular, we are able to prove higher integrability and higher differentiability results for solutions to our minimum problem.