Calculus of Variations and Geometric Measure Theory

J. Kinnunen - A. Nastasi - C. Pacchiano Camacho

Gradient higher integrability for double phase problems on metric measure spaces

created by nastasi on 19 Sep 2023


Accepted Paper

Inserted: 19 sep 2023
Last Updated: 19 sep 2023

Journal: Proceedings of the AMS
Year: 2023

ArXiv: 2304.14858 PDF


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.