Gradient higher integrability for double phase problems on metric measure spaces
Analysis of PDEs
2023-08-10 v3 Metric Geometry
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.
Cite
@article{arxiv.2304.14858,
title = {Gradient higher integrability for double phase problems on metric measure spaces},
author = {Juha Kinnunen and Antonella Nastasi and Cintia Pacchiano Camacho},
journal= {arXiv preprint arXiv:2304.14858},
year = {2023}
}