Discontinuous gradient constraints and the infinity Laplacian
Analysis of PDEs
2012-01-26 v1
Abstract
Motivated by tug-of-war games and asymptotic analysis of certain variational problems, we consider a gradient constraint problem involving the infinity Laplace operator. We prove that this problem always has a solution that is unique if a certain regularity condition on the constraint is satisfied. If this regularity condition fails, then solutions obtained from game theory and -approximation need not coincide.
Cite
@article{arxiv.1201.5199,
title = {Discontinuous gradient constraints and the infinity Laplacian},
author = {Petri Juutinen and Mikko Parviainen and Julio D. Rossi},
journal= {arXiv preprint arXiv:1201.5199},
year = {2012}
}