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
modified on 30 Jan 2024


Published Paper

Inserted: 19 sep 2023
Last Updated: 30 jan 2024

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

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.