Nonlinear fractional equations in the Heisenberg group

Nonlinear fractional equations in the Heisenberg group

We deal with a wide class of nonlinear nonlocal equations led by integro-differential operators of order (s,p), with summability exponent p in (1,∞) and differentiability order s in (0,1), whose prototype is the fractional subLaplacian in the Heisenberg group. We present very recent boundedness and...

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Bibliographic Details
Main Authors: Giampiero Palatucci, Mirco Piccinini
Format: Article
Language:English
Published: University of Bologna 2024-01-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
nonlocal operators
fractional sublaplacian
de~giorgi-nash-moser theory
heisenberg group
caccioppoli estimates
obstacle problems
perron's method
Online Access:https://mathematicalanalysis.unibo.it/article/view/18862

Internet

https://mathematicalanalysis.unibo.it/article/view/18862

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