Dirichlet problems for fully nonlinear equations with \lq subquadratic \lq Hamiltonians
Analysis of PDEs
2018-03-19 v1
Abstract
For a class of fully nonlinear equations having second order operators which may be singular or degenerate when the gradient of the solutions vanishes, and having first order terms with power growth, we prove the existence and uniqueness of suitably defined viscosity solution of Dirichlet problem and we further show that it is a Lipschitz continuous function.
Cite
@article{arxiv.1803.06270,
title = {Dirichlet problems for fully nonlinear equations with \lq subquadratic \lq Hamiltonians},
author = {Isabeau Birindelli and Francoise Demengel and Fabiana Leoni},
journal= {arXiv preprint arXiv:1803.06270},
year = {2018}
}
Comments
20 pages