A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term

作者：Avelin Benny; Julin Vesa

来源：Journal of Functional Analysis, 2017, 272(8): 3176-3215.

DOI：10.1016/j.jfa.2016.12.026

• Generalized Carleson estimate
• Non-Lipschitz drift
• Elliptic PDE

This paper concerns the boundary behavior of solutions of certain fully nonlinear equations with a general drift term. We elaborate on the non-homogeneous generalized Harnack inequality proved by the second author in [26], to prove a generalized Carleson estimate. We also prove boundary Holder continuity and a boundary Harnack type inequality.

• 出版日期2017-4-15