Hölder Continuity and Boundedness Estimates for Nonlinear Fractional Equations in the Heisenberg Group

We extend the celebrate De Giorgi-Nash-Moser theory to a wide class of nonlinear equations driven by nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p -Laplacian operator on the Heisenberg-Weyl group H n . Among other results, we prove that the weak solut...

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Bibliographic Details
Published in:	The Journal of geometric analysis Vol. 33; no. 3; p. 77
Main Authors:	Manfredini, Maria, Palatucci, Giampiero, Piccinini, Mirco, Polidoro, Sergio
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.03.2023 Springer Nature B.V
Subjects:	Abstract Harmonic Analysis Continuity (mathematics) Convex and Discrete Geometry Differential equations Differential Geometry Dynamical Systems and Ergodic Theory Estimates Fourier Analysis Global Analysis and Analysis on Manifolds Laplace transforms Lie groups Mathematics Mathematics and Statistics Nonlinear equations Operators (mathematics) Heisenberg group Fractional sublaplacian 47G20 35B45 Quasilinear nonlocal operators Primary 35D10 Hölder continuity 35H05 Secondary 35B05 35R05 Fractional Sobolev spaces
ISSN:	1050-6926, 1559-002X
Online Access:	Get full text
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