Geodesic
The \(\infty(x)\)-Laplace equation in Riemannian vector fields
Electronic journal of differential equations, Tome 2015 (2015)
Zbl   arXiv
We employ Riemannian jets which are adapted to the Riemannian geometry to obtain the existence-uniqueness of viscosity solutions to the $infinity(x)$-Laplace equation in Riemannian vector fields. Due to the differences between Euclidean jets and Riemannian jets, the Euclidean method of proof is not valid in this environment.
Classification : 35H20, 53C17, 49L25, 31B05, 31C12
Keywords: viscosity solution, Riemannian vector field, infinite Laplacian 
Bieske,  Thomas. The \(\infty(x)\)-Laplace equation in Riemannian vector fields. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a90/
@article{EJDE_2015__2015__a90,
     author = {Bieske,  Thomas},
     title = {The {\(\infty(x)\)-Laplace} equation in {Riemannian} vector fields},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1327.35072},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a90/}
}
TY  - JOUR
AU  - Bieske,  Thomas
TI  - The \(\infty(x)\)-Laplace equation in Riemannian vector fields
JO  - Electronic journal of differential equations
PY  - 2015
VL  - 2015
UR  - http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a90/
LA  - en
ID  - EJDE_2015__2015__a90
ER  - 
%0 Journal Article
%A Bieske,  Thomas
%T The \(\infty(x)\)-Laplace equation in Riemannian vector fields
%J Electronic journal of differential equations
%D 2015
%V 2015
%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a90/
%G en
%F EJDE_2015__2015__a90