Weakly coupled systems of the infinity Laplace equations
Analysis of PDEs
2014-03-18 v1
Abstract
We derive the weakly coupled systems of the infinity Laplace equations via a tug-of-war game introduced by Peres, Schramm, Sheffield, and Wilson (2009). We establish existence, uniqueness results of the solutions, and introduce a new notion of "generalized cones" for systems. By using "generalized cones" we analyze blow-up limits of solutions.
Keywords
Cite
@article{arxiv.1403.3760,
title = {Weakly coupled systems of the infinity Laplace equations},
author = {Hiroyoshi Mitake and Hung Vinh Tran},
journal= {arXiv preprint arXiv:1403.3760},
year = {2014}
}
Comments
24 pages