Published Paper

Inserted: 19 sep 2023
Last Updated: 30 jan 2024

Journal: Proceedings of the AMS
Volume: 152
Pages: 1233-1251
Year: 2024

Abstract:

We study local and global higher integrability properties for quasiminimizers of a class of double-phase integrals characterized by nonstandard growth conditions. We work purely on a variational level in the setting of a metric measure space with a doubling measure and a Poincar\'e inequality. The main novelty is an intrinsic approach to double-phase Sobolev-Poincar\'e inequalities.