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arXiv · 2304.14858

Gradient higher integrability for double phase problems on metric measure spaces

Juha Kinnunen·Antonella Nastasi·Cintia Pacchiano Camacho
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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.

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Juha Kinnunen, Antonella Nastasi, Cintia Pacchiano Camacho. 2023-04-28. Gradient higher integrability for double phase problems on metric measure spaces. https://arxiv.org/abs/2304.14858

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