Affiliation:
1. Dipartimento di Scienze Matematiche “G. L. Lagrange” Politecnico di Torino Torino Italy
2. Department of Mathematics and Computer Science Freie Universität Berlin Berlin Germany
Abstract
AbstractWe 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.
Funder
Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni