Geodesic
Morrey estimates for subelliptic \(p\)-Laplace type systems with VMO coefficients in Carnot groups
Electronic journal of differential equations, Tome 2016 (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 far from 2. We also show a local Holder continuity with an optimal exponent to the solutions.
Classification : 35H20, 35B65, 35D30
Keywords: subelliptic p-Laplace, VMO coefficients, controllable growth, Morrey regularity, Carnot group 
@article{EJDE_2016__2016__a6,
     author = {Yu,  Haiyan and Zheng,  Shenzhou},
     title = {Morrey estimates for subelliptic {\(p\)-Laplace} type systems with {VMO} coefficients in {Carnot} groups},
     journal = {Electronic journal of differential equations},
     year = {2016},
     volume = {2016},
     zbl = {1329.35123},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a6/}
}
TY  - JOUR
AU  - Yu,  Haiyan
AU  - Zheng,  Shenzhou
TI  - Morrey estimates for subelliptic \(p\)-Laplace type systems with VMO coefficients in Carnot groups
JO  - Electronic journal of differential equations
PY  - 2016
VL  - 2016
UR  - http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a6/
LA  - en
ID  - EJDE_2016__2016__a6
ER  - 
%0 Journal Article
%A Yu,  Haiyan
%A Zheng,  Shenzhou
%T Morrey estimates for subelliptic \(p\)-Laplace type systems with VMO coefficients in Carnot groups
%J Electronic journal of differential equations
%D 2016
%V 2016
%U http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a6/
%G en
%F EJDE_2016__2016__a6
Yu,  Haiyan; Zheng,  Shenzhou. Morrey estimates for subelliptic \(p\)-Laplace type systems with VMO coefficients in Carnot groups. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a6/