Results 121 to 130 of about 14,219 (239)

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
doaj  

Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces

Analysis and Geometry in Metric Spaces
Given 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
doaj   +1 more source

On coincidence of $p$-module of a family of curves and $p$-capacity on the Carnot group

, 2003
Irina Markina
openalex   +2 more sources

Lipschitz extensions into Jet space Carnot groups [PDF]

, 2010
Stefan Wenger, Robert M. Young
openalex   +1 more source

Primitives of volume forms in Carnot groups

Rendiconti Lincei, Matematica e Applicazioni
In the Euclidean space, it is known that a function f\in L^{2} of a ball, with vanishing average, is the divergence of a vector field F\in L^{2} with \|F\|_{L^2(B)}\le C\|f\|_{L^2(B)}
Annalisa Baldi, Bruno Franchi, Pierre Pansu   +2 more
openaire   +2 more sources

Generalized Hadamard's inequality and r-convex functions in Carnot groups

, 2004
Mingbao Sun, Xiaoping Yang
openalex   +1 more source

Exceptional sets for self-similar fractals in Carnot groups [PDF]

, 2010
Zoltán M. Balogh, RETO BERGER, Roberto Monti, Jeremy T. Tyson   +3 more
openalex   +1 more source

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

J Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

Quasilinear equations with source terms on Carnot groups [PDF]

, 2013
Nguyen Cong Phuc, Igor E. Verbitsky
openalex   +1 more source

An extension and trace theorem for functions of H-bounded variation in Carnot groups of step 2

, 2005
Christina Selby
openalex   +2 more sources