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 Poincaré inequality. The main novelty is an intrinsic approach to double phase Sobolev-Poincaré inequalities.
Kinnunen, J., Nastasi, A., Pacchiano Camacho, C. (2024). Gradient higher integrability for double phase problems on metric measure spaces. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 152(3), 1233-1251 [10.1090/proc/16646].
Gradient higher integrability for double phase problems on metric measure spaces
Nastasi, Antonella
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2024-03-01
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 Poincaré inequality. The main novelty is an intrinsic approach to double phase Sobolev-Poincaré inequalities.
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