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arXiv · 1803.06270

Dirichlet problems for fully nonlinear equations with \lq subquadratic \lq Hamiltonians

Isabeau Birindelli·Francoise Demengel·Fabiana Leoni
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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.

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Isabeau Birindelli, Francoise Demengel, Fabiana Leoni. 2018-03-16. Dirichlet problems for fully nonlinear equations with \lq subquadratic \lq Hamiltonians. https://arxiv.org/abs/1803.06270

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