@article{ceb1373c88d64c22a9bfa753d67d61d4,
title = "Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal p-Laplace equation",
abstract = "We establish a local boundedness estimate for weak subsolutions to a doubly nonlinear parabolic fractional p-Laplace equation. Our argument relies on energy estimates and a parabolic nonlocal version of De Giorgi{\textquoteright}s method. Furthermore, by means of a new algebraic inequality, we show that positive weak supersolutions satisfy a reverse H{\"o}lder inequality. Finally, we also prove a logarithmic decay estimate for positive supersolutions.",
keywords = "De Giorgi{\textquoteright}s method, Doubly nonlinear parabolic equation, Energy estimates, Fractional p-Laplace equation",
author = "Agnid Banerjee and Prashanta Garain and Juha Kinnunen",
note = "Funding Information: A.B. is supported in part by SERB Matrix grant MTR/2018/000267 and by Department of Atomic Energy, Government of India, under project no. 12-R & D-TFR-5.01-0520. P.G. and J.K. are supported by the Academy of Finland. Publisher Copyright: {\textcopyright} 2021, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature.",
year = "2021",
month = nov,
day = "15",
doi = "10.1007/s10231-021-01177-4",
language = "English",
journal = "Annali di Matematica Pura ed Applicata",
issn = "0373-3114",
publisher = "Springer Verlag",
}