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...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	The Journal of geometric analysis Ročník 33; číslo 3; s. 77
Hlavní autoři:	Manfredini, Maria, Palatucci, Giampiero, Piccinini, Mirco, Polidoro, Sergio
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.03.2023 Springer Nature B.V
Témata:	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
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Buďte první, kdo okomentuje tento záznam!