Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups
Electronic Journal of Differential Equations, 2016 In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too
Haiyan Yu, Shenzhou Zheng
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Liouville results for fully nonlinear equations modeled on Hörmander vector fields: II. Carnot groups and Grushin geometries [PDF]
, 2021 Martino Bardi, Alessandro Goffi
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Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces
Analysis and Geometry in Metric SpacesGiven a homeomorphism f:X→Yf:X\to Y between QQ-dimensional spaces X,YX,Y, we show that ff satisfying the metric definition of quasiconformality outside suitable exceptional sets implies that ff belongs to the Sobolev class Nloc1,p(X;Y){N}_{{\rm{loc}}}^{1,
Lahti Panu, Zhou Xiaodan
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Exceptional sets for self-similar fractals in Carnot groups [PDF]
, 2010 Zoltán M. Balogh +3 more
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Mean value formulas for classical solutions to some degenerate elliptic equations in Carnot groups
, 2022 Diego Pallara, Sergio Polidoro
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A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields [PDF]
, 2019 François Vigneron
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A variant of Gromov's problem on Hölder equivalence of Carnot groups [PDF]
, 2017 Derek Jung
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A sufficient condition for nonrigidity of Carnot groups [PDF]
, 2007 Alessandro Ottazzi
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Marstrand–Mattila rectifiability criterion for1-codimensional measures in Carnot groups [PDF]
, 2023 Andrea Merlo
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The coarea formula for projections of Lipschitz mappings on Carnot groups [PDF]
S. G. Basalaev
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