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Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal p-Laplace equation by Agnid Banerjee; Prashanta Garain; Juha Kinnunen is a Mathematics article available to read on EtoBox.
What is Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal p-Laplace equation about?
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's method. Furthermore, by means of a new algebraic inequality, we show that positive weak supersolutions satisfy a reverse Hölder inequality. Finally, we also prove a logarithmic decay estimate for positive supersolutions.
Who reads Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal p-Laplace equation?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Agnid Banerjee; Prashanta Garain; Juha Kinnunen
- Publisher
- Springer Science and Business Media LLC
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)