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.
Submitted June 11, 2015. Published June 17, 2015.
Math Subject Classifications: 35H20, 53C17, 49L25, 31B05, 31C12.
Key Words: Viscosity solution; Riemannian vector field; infinite Laplacian
Show me the PDF file (210 KB), TEX file, and other files for this article.
| Thomas Bieske |
Department of Mathematics
University of South Florida
Tampa, FL 33620, USA
Return to the EJDE web page